Question

Solve A² - 6a = 25 by completing the square.

a. A = -5
b. A = 5
c. A = -1
d. A = 1

Answer 1

To solve the quadratic equation A² - 6a = 25 by completing the square, you rearrange the equation to (A - b)² = c and find the value of A by taking the square root of both sides.

Step-by-step explanation:

To solve the quadratic equation A² - 6a = 25 by completing the square, you need to rearrange the equation to the form of (A - b)² = c. In this case, b would be -3 and c would be 34. To find the value of A, you take the square root of both sides of the equation, resulting in two possible solutions: A = -5 or A = 5. Therefore, the correct answer is Choice A: A = -5.