Solving Quadratic Equations- Completing the Square

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What number should be added to both sides of the equation to complete the square?

x^2 + 3x = 6

(3/2)^2

What number should be added to both sides of the equation to complete the square?

x^2 – 6x = 5

9

Which are the solutions of the quadratic equation?

x^2 = 9x + 6

9 – √105/2, 9 + √105/2

Which are the solutions of x^2 = 19x + 1?

19 – √365/2, 19 + √365/2

Which are the solutions of x^2 = -11x + 4?

-11 – √137/2, -11 + √137/2

What value of c makes x^2 − 12x + c a perfect square trinomial?

36

What number should be added to both sides of the equation to complete the square?

x^2 + 8x = 4

16

Solve x^2 + 14x = −24 by completing the square.

What is the solution set of the equation?

{−12, −2}

Which are the solutions of the quadratic equation?

x^2 = -5x – 3

-5 – √13/2, -5 + √13/2

What number should be added to both sides of the equation to complete the square?

x^2 + 12x = 11

36

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