Question

x(9x-8)=(x-4)² alguém consegue fazer essa equação de 2° grau???

Answer 1

$x(9x-8)=(x-4)^2\\\\\\ 9 x^{2} -8x= x^{2} -4x-4x+16\to \\\\ 9 x^{2} -8x-x^{2}+4x+4x-16=0\to \\\\ 8 x^{2} -16=0\to \\\\ 8 x^{2} =16\to\\\\ x^{2} = \frac{16}{8} \to\\\\ x^{2} =2\to\\\\ x=\pm \sqrt{2} \\\\\\ S=(- \sqrt{2} ; \sqrt{2} )$