If the discriminant of a quadratic equation is -2, then the equation has  ?      . If the discriminant of a quadratic equation is 2, then the equation has       ? . If the discriminant of a quadratic equation is 0, then the equation has    ?    . If the discriminant of a quadratic equation is 4, then the equation has  Select one for each question above. 2 non rational solutions one real solution two irrational solutions two rational solution none of the above

Q: The Quadratic Formula gives us the solutions of the equation ax + bx + c = 0. (a) State the…

A: Since, we have been given up the quadratic formula ax2+bx+c=0⇒ax2+bx=-c -(i)Taking 'a' common from…

Q: If the solution set of the quadratic equations is {1, –÷} then the quadratic equation is: Select…

A: Equation can be find out in two ways.

Q: determine whether the Quadratic Equation has “Real” OR “Imaginary” solutions: 2x^2-11x = -21 Write…

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Q: (a) To solve the equation x3  4x2  0 , we theleft-hand side.(b) The solutions of the equation x21x…

A: Fill the blanks.   1 a. To solve the equation x3-4x2=0, we factor the left hand side.

Q: ultiply both sides of the equation by the LCD and solve the resulting quadratic equation. (Enter…

A: The given data is: x+4x=5 To solve the given quadratic equation.

Q: 12. When should the quadratic formula be used to find the roots of a quadratic equation, ax²+bx+c=0?…

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Q: Fill in the blanks so that the resulting statement is true. x? +y = 14 When solving by the addition…

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Q: Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is…

A:

Q: Given the quadratic equation (x – 8) = 100 + 2M %3D If M =-50, then the quadratic equation will hav…

A: The given quadratic equation is       (x-8)²= 100+2M We have to find number of possible solutions…

Q: For a particular quadratic equation, ax + bx + c = 0, b² – 4ac = -25, which of the following is true…

A: We will use the quadratic formula to solve this

Q: Solve by using the quadratic formula. (Enter your answers as a comma-separated list. If there is no…

A: 6w2 - 13w + 5 = 0 compare with standerd form ax2 + bx + c=0 so here we have a = 6 , b = -13 , c = 5…

Q: Did Natalia solve correctly? If Shown the correct solution not, describe her mistake(s): (if…

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Q: Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a…

A: Explanation of the solution is given below...

Q: Find all real solutions of the quadratic equation. (Enter your answers as a comma-separated list. If…

A: Topic:- roots of Quadratic equations

Q: For the equation z?-10z + k = 0, for what value of k does the equation have a single real root? k =

A: We have to find for what value of k does the equation have a single real root.…

Q: The hypotenuse of right angled triangle is 6 m more than twice the shortest side if the third side…

A: Consider the shorter leg is x. Then, hypotenuse is 2x+6 The third side is 2m less than the…

Q: The given equation is either linear or equivalent to a linear equation. Solve the equation. (If…

A: Given,

Q: Raphael wants to solve the quadratic equation 2x2 + x – 11 =  –6  by graphing. Which graphing method…

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Q: Using the discriminant, find the value of k where the equation 3x^2+12x+k would have “exactly one…

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Q: 11. Which of the statements are TRUE? I. If b? – 4ac = 0 in ax²+bx+c=0, a#0, then the equation has…

A: As we know that; For the quadratic equation ax2+bx+c=0 (a). If D=b2-4ac<0 ; there is no real…

Q: 5. Which of the following is a quadratic equation? A. 3x+5-0 B.+4x-12 -0 C. -3+4x--5 D.-1-0 6. What…

A: As per the company guidelines we can solve first three parts  . I hope that the given solution will…

Q: If the discriminant of a quadratic equation is -2, then the equation has        . If the…

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Q: Find the real solutions to the quadratic equation. (Enter your answers as a comma-separated list.)…

A:

Q: If the discriminant of a quadratic equation is 0, then the equation has Select an answer Select an…

A: discriminant number of solution D>0 2 real numbers D=0 1 real number D<0 no real numbers

Q: Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a…

A:

Q: Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is…

A: Given equation is 14x2+11x-9=0We have to find all the real solutionWe have…

Q: Solve 7V +1<9. The solution is

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Q: x^2+px+p=5 If one root of the quadratic equation given above is 1, then what is the value of the…

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Q: The length of each of the two congruent sides of an isosceles triangle is 2x + 3 , The length of the…

A: A triangle is said to be isosceles if its two sides have the same length. The perimeter of a…

Q: 2. Solve using any algebraic method from class. Find EXACT solutions. 7x2 + 14 = 0

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Q: Find all real solutions of the quadratic equation. (Enter your answers as a comma-separated list. If…

A:

Q: Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a…

A: larger value of X is = 2.1583 smaller value of X is = -1.1583   detailed solution is given below

Q: For the quadratic equation ax + bx +c = 0, the discriminant is D = The discriminant tells us how…

A: Quadratic equation ax2+bx+c=0 D= b2 -4ac

Q: We now have the quadratic equation x + 6x – 1 = 0 to solve. We are unable to factor the left side of…

A: as per bartleby guidelines we are supposed to answer only first question in multiple questions

Q: Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a…

A:

Q: Given the quadratic equation (x – 8)² = 100 + 2M %3D If M -50, then the quadratic equation will have…

A:

Q: Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a…

A:

Q: (a) For any real number c , the quadratic equation x2 + x – c² = 0 has two distinct (real)…

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Q: Find the real or imaginary solutions of the equation by factoring. 27x^3 -1=0 Factor 27x^3-1…

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Q: Find the real​ solutions, if​ any, using the quadratic formula.   2x2−9x+7=0 Select the correct…

A: We have a given quadratic equation 2x2-9x+7=0   We have to find the solutions to this equation   A…

Q: - For the quadratic equation ax? + bx + c = 0 the discriminant -. The discriminant tells us how many…

A: Given

Q: 3. For a certain quadratic equation ax? + bx +c = 0, the 2 solutions are x = - and x =2. Which of…

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Q: Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is…

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Q: Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is…

A:

Q: Consider the equations 2x - A) x² - 2x x³ +8 0 and B) = 0. x³ - 8 Which of the following statement…

A: We can find the answer in the following steps.

Q: Given the quadratic equation (x - 8) = 100 + 2M %3D If M = -50, then the quadratic equation will…

A: If square of an expression is negative then there is no real solution for the expression. If square…

Q: Below is the result after using the quadratic formula to solve an equation. -7+ V 49 – 4 × 30 x= 10…

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Q: Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a…

A: Given : -4x2 + 2x + 5 = 0

Q: 3. For the quadratic equation ax2  bx  c  0 the discriminantis D  . The discriminant tells us…

A: In quadratic equation ax2 + bx + c has a solution       x = -b±b2-4ac2a in which  b2 - 4ac is known…

Q: Solve the equation for the indicated variable. (Enter your answers as a comma-separated list.) +…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.