Find the value of k so that the quadratic equation 4x2 + kx + 25 = 0 has equal roots. Select one: О а. 20 O b.9 О с. 24 O d. 25

Q: Use Descartes's rule of signs to find the number of positive and the number of negative solutions of…

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Q: -5. In the equation 2x2 - 9 -5 = 0, which is the constant term? а. 2x2 С. -9х 6. In the quadratic…

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Q: Find the solution set of each quadratic equation by completing the square a) Зx2 + 12х +9 — 0 b) х2…

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Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

Q: What are the solution(s) to the quadratic equation 40 - x = 0? Ox= +2 10 Ox= +4 10

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Q: Suppose that  f(x)=−5x2−10x+6. Find the value of  k  in the quadratic formula below. x = -k +…

A: Given function f(x) - f(x) = -5x2-10x+6The above equation is a quadratic equation of the form -…

Q: 1. Find the quotient of x3 −5x2 −2x+ 24  by x−4, and then divide the quotient by x−3. What are the…

A: x-4x2-x-6x3-5x2-2x+24-x3∓4x2-x2-2x+24∓x2±4x-6x+24-6x+2400    ∴x3-5x-2x+24=x2-x-6 x-4 —∗…

Q: State whether the given quadratic equations have two distinct real roots .Justify your answer  i)…

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Q: Solve the following quadratics equations: 8. x2-5x +9 0 9. 3x2-7x + 5 = 0

A: We solve these equation by quadratic formula.

Q: Given the quadratic expression p(q) = 2 − r² + 4q − 4 − 7q + 8q² − 10r, identify and state the…

A: Answer:  a=8b=−3c=−2−r2−10rExplanation:Step 1:

Q: The Quadratic Formula can be used to find the roots of a quadratic equation. y = 4г2 — За — 2 Using…

A: for y=ax2+bx+c quadratic formula:x=-b±b2-4ac2a

Q: A. Find the sum and product of the solutions of the following quadratic equations. Quadratic…

A: sum of root =-b/a product of root =c/a

Q: 1. Detemine, whether and -v5 are roots of the equation 10a – 5 = 2a3 - a?.

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Q: equation 1.    x² – 5x + 9 = 0  2.     x² – 2x = –10    3.     9x² + 6x + 1 = 0

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Q: 2. Write a quadratic equation that goes through the point (2, 2) and has the vertex of (-1,-3). L

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Q: 2 A) 1-x- x² = 0 B 1+ x - x² = 0 1- x + x² = 0 1+x+x² = 0 without solving. determine which of the…

A: Topic = Quadratic equations

Q: Determine the solutions of each quadratic equation by extracting the square roots a) (Зх — 3)2 — 363…

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Q: If a and b are the roots of the quadratic equation (x - 2023)(x-2024) = 2025, then (2025-a) (2025-b)…

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Q: Rationalize the denominator of 5/(square root of 14) - 2

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Q: Find out the discriminant of the quadratic equation 20x2+14x+20=0 using this definition

A: Given equation: 20x2+14x+20=0 Concept: Discriminant of a equation in the form ax2+bx+c=0 is given…

Q: value of its discriminant is positive and perfect square? * a. The roots are not real.. b. The roots…

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Q: 2 y = x² + 4 -4 -2 4. 4 x

A: We have to determine the number and type of solutions of the quadratic equationy = -x2 + 4 using…