winter homework 1 by Vic

Algebra Level 2

find the root of this quadratic equation

±√15+4 ±√15-4 ±√15-5 ±√15+5

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1 solution

Caleb Townsend
Feb 27, 2015

To solve for x , x, complete the square. x 2 + 10 x + 10 = 0 x^2 + 10x + 10 = 0 x 2 + 10 x + 25 = 15 x^2 + 10x + 25 = 15 ( x + 5 ) 2 = 15 (x + 5)^2 = 15 x + 5 = 15 x + 5 = \sqrt{15} x = 5 ± 15 x = \boxed{-5 \pm \sqrt{15}}

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