Question

Find the equation that results from completing the square. X^2-14x+40=0

Answer 1

9514 1404 393

Answer:

(x -7)^2 -9 = 0

Explanation:

To complete the square, add and subtract the square of half the x-coefficient.

x^2 -14x +40 = 0 . . . . given

x^2 -14x +(-7)^2 +40 -(-7)^2 = 0

(x -7)^2 +40 -49 = 0

(x -7)^2 -9 = 0