Question

If using the method of completing the square to solve the quadratic equation x^2+17x+12=0x 2 +17x+12=0, which number would have to be added to "complete the square"?

Answer 1

Answer:

289/4

Step-by-step explanation:

x² + 17x + 12 = 0

x² + 17x = -12

Take half of the second coefficient, square it, then add the result to both sides.

(17/2)² = 289/4

x² + 17x + 289/4 = -12 + 289/4

(x + 17/2)² = 241/4

Answer 2

The answer is 289/4.

Solve the equation

By using quadratic equation formula a$x^{2}$ + bx + c = 0, we get:

⇒ $x^{2}$ + 17x + 12 = 0

⇒ $x^{2}$ + 17x = -12

Take half of the second coefficient, square it, then add the result to both sides.

⇒ (17/2)² = 289/4

⇒ $x^{2}$ + 17x + 289/4 = -12 + 289/4

⇒ (x + 17/2)² = 241/4

What are quadratic equations?

Quadratic equations are second-degree algebraic expressions and are of the form a$x^{2}$ + bx + c = 0.

Learn more about quadratic equations here: brainly.com/question/8649555

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