1.

Find x : x^2(x+1)^2+x^2=3(x+1)^2

Answer»

x2+x2(x+1)2=3x2+x2(x+1)2=3


x2+(xx+1)2=3x2+(xx+1)2=3


x2+(1−1x+1)2=3x2+(1−1x+1)2=3


x2+1−2x+1+(1x+1)2=3x2+1−2x+1+(1x+1)2=3


x2+2−2x+1+(1x+1)2=4x2+2−2x+1+(1x+1)2=4


x2+2x+2−2x+1+(1x+1)2=4x2+2x+2−2x+1+(1x+1)2=4


x2+2xx+1+(1x+1)2=4x2+2xx+1+(1x+1)2=4


(x+1x+1)2=4(x+1x+1)2=4


x+1x+1=±2x+1x+1=±2


x=1±5√2x=1±52, −3±i3√2


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