Given the quadratic equation x2+4=16x Which of the following shows the equation in standard form, the value of the discriminant, and the correct number and type of roots?

Q: Find the roots of the quadratic equation x + 2x - 3 = 0.

A: We will find the root by two methods first by splitting the middle term and second by discriminant…

Q: Find  the roots of the given quadratic equation by factorization method  x2-3x-10=0

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Q: If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?

A: Here we have given a quadratic equation and we have to find out the value of variable x for which…

Q: With the highest degree term being 4x', the equation 4x - 28x + 24x = 0 is known as a cubic…

A: The given cubic equation is, 4x3-28x2+24x=0 The objective is to find the solutions of the equation…

Q: If using the method of completing the square to solve the quadratic equation…

A: Find your answer below

Q: If using the method of completing the square to solve the quadratic equation x2+15x+4=0x2+15x+4=0,…

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Q: Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x2 –…

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: If using the method of completing the square to solve the quadratic equation x2 - 15x - 23 = 0,…

A: The given equation is, x2-15x-23=0. Rewrite the given equation by keeping x terms in the left side…

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: Find all real solutions of the equation. 2x2 + x = 1

A: Solution: Consider the given that : 2x2 + x = 1 Therefore 2x2 + x - 1 = 0 This is quadratic in x…

Q: If using the method of completing the square to solve the quadratic equation x2 + 17x + 3 = 0, which…

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Q: Solve the given quadratic equation by factoring:  x2+x-12=0

A: Given quadratic equation is:

Q: The equation x-7x²+ 14x² +2x-20=0 has how many roots?

A: we have to apply properties of polynomials to solve the question

Q: Given the quadratic equation 3x+6=−6x2 A) Determine the value of the discriminant…

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Q: If the discriminant of a quadratic equation is 4, then the equation has

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Q: Construct an equation whose roots are less than 4 of the roots of x'+3x –12x-10=0

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Q: If using the method of completing the square to solve the quadratic equation x2 - 14x 40 = 0, which…

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: Compute the value of the discriminant and give the number of real solutions of the quadratic…

Q: Solve the following quadratic equation by factorization method 4x2-4qx+(a2-b2)=0

A: 4x2-4qx+a2-b2=0⇒2x2-2.2x.q+q2-q2+a2-b2=0⇒2x-q2-q2+b2-a2=0⇒2x-q2-q2+b2-a22=0⇒(2x-q+q2+b2-a2)…

Q: Find all real solutions of the equation by first factoring the left hand side and then taking a…

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: Find the roots of the given equation 2x2+3x+2=0

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Q: The solutions to the quadratic equation x2 – 11x + 22 = 0 are x = 3 and x = :6. What is the base of…

A: Let the base be 'b' 11 (base b)= (b+1) of [ base 10] 22 (base b)=(2b+2) of [base 10] Now we know…

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: Find the roots of the given equation by the method of completing the square 4x2 + 4bx - (a2 - b2 )…

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Q: What term should be added to both sides of the equation in order to solve by completing the square?…

A: Given, x2+3x=4

Q: Find the roots of the equation using the quadratic formula 7x² + 3x-1=0

A: The given equation is 7x2+3x-1=0. We have to find roots of the equation using quadratic formula.…

Q: I. Find the solution sets, discriminant, quadratic equation and describe roots of the following…

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Q: The solutions of the quadratic equation x(x + 2) + 9 = 0 are

A: Given: x(x+2)+9=0 we can write: x2+2x+9=0 Formula: For the quadratic equation ax2+bx+c=0  x=-b…

Q: The solutions of the quadratic equation x2 + 4x + 8 = 0 are

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: If using the method of completing the square to solve the quadratic equation x2 - 13x-7 = 0, which…

A: Given,            x2-13x-7=0

Q: Find the x-intercepts of the following quadratic equation: 5x2 - x - 18 = 0

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Q: If the discriminant of a quadratic equation is 0, then the equation has

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Q: Given the quadratic equation −3v2+10=−2v Which of the following shows the equation in standard…

A: standard form of quadratic eq ax^2+bx+c=0 Discriminate (D)= b^2-4ac

Q: Find the root of the equation and also verify your answer. 2x4_3x2+1=0

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Q: The equation of whose roots are the reciprocal of the roots of 2x² - 3x-5 = 0 is?

A: We know that if α, β are the roots of the equation ax2+bx+c = 0, then the equation with roots 1α, 1β…

Q: Solve the following equation that is quadratic in form. X4-6x2+8=0

A: Use substitution

Q: How many real roots does the quadratic equation 3x² + 2x - 9 = 0 have?

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Q: describe the nature of the roots of the equation 5x2+x=-4?

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Q: Find the roots of the quadratic equation x2+5=-6

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

A: The discriminant of a quadratic equation is given by b2-4ac We know that when the b2-4ac>0 then…

Q: Find the x-intercepts of the following quadratic equation: 10x2 - 29x + 10 0 Factors of ac that add…

A: Find the x intercept of the given quadratic equation.

Q: Find all real solutions of the equation by completing the square. x2 - 8x + 1 = 0

A: x2 - 8x + 1 = 0

Q: Find all real solutions of the equation below: 5x2 – 7x + 5 = 0 -

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Q: Find all real solutions of the equation by completing the square. x2 - 5x + 1 = 0

A: The given quadratic equation is x2-5x+1=0. To solve this by completing the square, on the left side…