Question

solve x^2 +(x/x-1)^2=8

Answer 1

Answer:

x⁴-2x³-6x²+16x-8=0

Step-by-step explanation:

x²+x²/(x-1)² = 8

[x²(x-1)²+x²] / (x²-1)² = 8

x²(x²-2x+1)+x²=8(x²-2x+1)

x⁴-2x³+x²+x²=8x²-16x+8

x⁴-2x³+2x²-8x²+16x-8=0

x⁴-2x³-6x²+16x-8=0