Question

Use the “complete the square” method to rewrite the equation ax 2 + bx + c = 0 in the form ( x – p ) 2 = q .

Answer 1

X^2 + (b/a)x + c/a = 0
x^2 + (b/a)x + c/a = 0
x^2 + 2(b/a)x + c/a - b/a = 0
x^2 + 2(b/a)x = b/a - c/a
x^2 + 2(b/a)x + (b/a)^2 = b/a - c/a + (b/a)^2
(x + b/a)^2 = b/a - c/a + (b/a)^2
p = -b/a
q = b/a - c/a + (b/a)^2

Answer 2

Ax2 + bx + c = 0 = a(x+d)^2 + e = 0