Question3

Algebra Level 2

( 2 x + 3 ) 2 − 3 ( 2 x + 3 ) − 4 = 0 (2x+3)^{2}-3(2x+3)-4=0

Solve this equation.

x = 2 , − 1 2 x=2 , -\frac{1}{2} x = − 1 , 7 2 x=-1 , \frac{7}{2} x = − 2 , 1 2 x=-2 , \frac{1}{2} x = 1 , − 7 2 x=1 , -\frac{7}{2}

Luye Xue by Luye Xue , 19, China

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1 solution

Luye Xue
Feb 13, 2015

( 2 x + 3 ) 2 − 3 ( 2 x + 3 ) − 4 = 0 (2x+3)^{2}-3(2x+3)-4=0

( 2 x + 3 − 4 ) ( 2 x + 3 + 1 ) = 0 (2x+3-4)(2x+3+1)=0

( 2 x − 1 ) ( 2 x + 4 ) = 0 (2x-1)(2x+4)=0

x = − 2 , 1 2 x=-2,\frac{1}{2}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Well done Luyi! It is very wise that you did not expand the expression in the first place, which really takes insight. Good job!

Stanley Guo - 6 years, 3 months ago

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