Construct the equation with root -3 and -⅔ Using the formula method: x²-(sum of roots)x +(product of roots)

Q: Write the quadratic equation whose roots are -1 and 4, and whose leading coefficient is 1. (Use the…

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Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

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Q: Solve for the roots in simplest form using the quadratic formula: 12x = -20

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Q: Solve this equation: 8-x+14=16x

A: Solve the equation 8−x+14  = 16x  for x as follows.To make equivalent expressions in the exponents,…

Q: Solve the equation x3 - 17x + 4 = 0 given that 4 is a root.

A: Given that x=4 is a root. So (x-4) is a factor. So, we will use synthetic division to find the other…

Q: Solve using method of undetermined coefficients: y" + 3y = -48x2e3x

A: The solution is given as

Q: Use the discriminant to determine the nature of the solutions of the equation.

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by the expression D=b2-4ac. If the…

Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

A: Comparing with

Q: What number is added to both sides of the equation x2-8x+3=0 to solve it by completing the square?

A: The given equation is

Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

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Q: Q1- Find the roots of the equation w=V-21 ?

A: 1) to find four roots of 4√(-2i)

Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

A: Now comparing with

Q: Find the roots of the algebraic equation x + 10x² + 41x + 50 =

A: Given, the equation                             x3+10x2+41x+50=0

Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

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Q: Substituting x = 3 in the equation 4x 2 10 makes the equation true, so the number 3 is a of the…

A: x=3, 4x-2=10

Q: Find the roots of the equation -45a? – 35x + 100 = 0 using Bisection Method. Positive root: [ Choose…

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Q: Write the quadratic equation whose roots are 5 and -1, and whose leading coefficient is 2. (Use the…

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Q: Write the guadratic equation whose rootsS are –6 and 2, and whose leading coefficient Is (Use the…

A: Solution: Given roots -6 and 2, and the leading coefficient is 1

Q: Solve the equation given by completing the square. 2x + 16x + 30= 0 [Hint: Divide by 2 first]

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Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…

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Q: Determine the real root of the equation y=x- 4x2– 12x –6 to the nearest thousandth

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Q: Solve for the roots using algebraic method. 3x²–5x+2

A: Let us consider the equation ax2+bx+c=0. To find the roots using the quadratic equation, split bx in…

Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…

A: Given 2x2-11x+3=0 For any quadratic equation of form ax2+bx+c=0 the discriminant is given by b2-4ac…

Q: Solve it by Quadratic formula 4x – 6x = x +5 %3D

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Q: Solve for y in the first equation; then substitute into the 2nd equation. Then use quadratic…

A: To solve the equations using quadratic formula

Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…

A: we have to compute the discriminant of the equation. then we have to tell what does the discriminant…

Q: Solve the equation 12r + 16x - 5x – 3 = 0 given that - is a root. %3D

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Q: Write the quadratic equation whose roots are -3 and 4, and whose leading coefficient is 3, (Use the…

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Q: y"+y=x^2sin(2x), solve using undetermined coefficient, all steps

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Q: Find atleast 1 root for the equation 5x5 + 10x? = 3

A: Introduction: An equation can be described mathematically as a statement that proves the equality of…

Q: Find all the roots of the equation. 4x* - 24x +57x? +18x-45 = 0 if one root is 3 +i6.

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Q: Compute the discriminant. Then determine the number and type of solutions for the equation. 7x² -x +…

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Q: Solve for the roots in simplest form using the quadratic formula: 2x2 – 22 = 16x

A: Given :             The equation is 2x2 - 22 = 16x   To solve for the roots of 2x2 - 22 = 16x…

Q: Solve the equation by using the quadratic formula. 4K2 – 3K – 8 = 0 separated by commas. List the…

A: The expression for the quadratic formula is given by k=-b±b2-4ac2a Here, a=4, b=-3, c=-8 Substitute…

Q: Write the quadratic equation whose roots are 4 and 1, and whose leading coefficient is 1, (Use the…

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Q: solve the equation x^3-3x^2-9x-5=0 given that it has two equal roots

A: The given equation is                               x3-3x2-9x-5=0 Now we solve this for x .…

Q: Solve using the method of undetermined coefficients y''+ 3y = -48x²e^3x

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Q: Find the missing number so that the equation has no solutions. 11 = -4x - 9 Submit

A: No solution means when the equation does not have the solution. There does not exist any value of x…

Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

A: Given, 3x2+4x- 2= 0 Let  fx=3x2+ 4x-2=0 is of the form ax2+bx+c with a=3, b=4 & c=-2 We know…

Q: Use the Zero-product property to solve the following equation  (×-6)(5×+9)

A: The zero product property said that : if ab = 0 then, either a=0 or b=0 (or both).

Q: Solve the equation by the​ zero-factor property.   t^2−10t+24=0

A: given equation is t2 -10t +24= 0 for factoring, we need to get the above equation to its reduced for…

Q: Solve the equation – 5|x| – 9 = – 44. %3D - -

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Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…

A: For ax2+bx+c=0Discriminant, D=b2-4acIf D>0, two real solutionsIf D=0, one real solutionIf D<0,…

Q: Solve the equation 12x°-43x + 22x -3=0 given that is a root. 3 O A. O B. C.

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Q: Solve the equation algebraically: -4+ 7 2x + 4| = 59 %3D If needed, separate multiple answers by a…

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Q: Write the quadratic equation whose roots are -2 and -6, and whose leading coefficient is 4. (Use the…

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Q: Solve csc(4x) – 5 = 0 for the four smallest positive solutions CSC -

A: csc(4x) - 5 = 0 csc(4x) = 5 4x = csc-1(5) (invesrse function of csc) csc-1(5) = 11.54

Q: Solve the radical equation. X- V4x – 12 = 6

A: Given Data: Radical equation: x-4x-12=6   First solve for removing the square root,…