Question

Solve : (x^2 - 5x)^2 - 30(x^2 - 5x) = 216​

Answer 1

Answer:

$({x}^{2} - 5x) {}^{2} - 30 {x}^{2} + 150x = 216 \\ ( {x}^{2} ) {}^{2} - 2( {x}^{2} )(5x) + (5x) {}^{2} - 30 {x}^{2} + 150x = 216 \\ {x}^{4} - 10 {x}^{3} + 5 {x}^{2} - 3 0 {x}^{2} + 150x = 216 \\ {x}^{4} - 10 {x}^{3} - 25 {x}^{2} + 150x = 216 \\ x( {x}^{3} - 10 {x}^{2} - 25x + 150) - 216 = 0$