More Quadratics!

Algebra Level 1

4 x 2 + 6 x − 27 = x 2 + 18 4x^2+6x-27=x^2+18

Solve for x.

x ≠ − 5 x \neq -5

3 2 4 -5

William Zhu by William Zhu , 37, USA

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2 solutions

Nikhil Raj
May 30, 2017

Given , 4 x 2 + 6 x − 27 = x 2 + 18 ⇒ 3 x 2 + 6 x − 45 = 0 ⇒ x 2 + 2 x − 15 = 0 ⇒ ( x + 5 ) ( x − 3 ) = 0 ⇒ x = − 5 , 3 ∴ x = 3 4x^2 + 6x - 27 = x^2 + 18 \\ \Rightarrow 3x^2 + 6x - 45 = 0 \\ \Rightarrow x^2 + 2x - 15 = 0 \\ \Rightarrow (x + 5)(x - 3) = 0 \\ \Rightarrow x = -5,3 \\ \therefore x = \boxed3

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Harish Nani
Nov 8, 2015

By rearranging the equation we getx^2+2x-15=0 by factorizing we get (x-3)(x+5)=0 so values of x satisfying are and -5. So the correct answer is 3

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