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

Question

Ryleigh Hunter

Mathematics

23 August, 12:49

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

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Answers (2)

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Alessandra Barber · Answer 1

Ax2 + bx + c = 0 = a (x+d) ^2 + e = 0

Birdie · Answer 2

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