Question 4

Algebra Level 2

( x − 1 ) 2 + 2 x ( x − 1 ) = 0 (x-1)^{2}+2x(x-1)=0

Find the solution.

no real roots x=-1, − 1 3 -\frac{1}{3} x=1, − 1 3 -\frac{1}{3} x=1, 1 3 \frac{1}{3}

Luye Xue by Luye Xue , 19, China

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2 solutions

Lu Chee Ket
Feb 16, 2015

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Luye Xue
Feb 15, 2015

( x − 1 ) 2 + 2 x ( x − 1 ) = 0 (x-1)^{2}+2x(x-1)=0

( x − 1 ) [ ( x − 1 ) + 2 x ] = 0 (x-1)[(x-1)+2x]=0

( x − 1 ) ( 3 x − 1 ) = 0 (x-1)(3x-1)=0

x=1, 1 3 \frac{1}{3}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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