Question

Por Favor Me Ajude Nessa Equação

4 + X . (X-4) = X

Answer 1

$4+x.(x-4)=x\\\\\\ 4+ x^{2} -4x=x\to\\\\ 4+ x^{2} -4x-x=0\to\\\\ x^{2} -5x+4=0\\\\ a=1;b=-5;c=4\\\\ \Delta=b^2-4ac\to \Delta=(-5)^2-4*1*4\to \Delta=25-16\to \Delta=9\\\\ x= \frac{-b\pm \sqrt{ \Delta} }{2a} \to x= \frac{-(-5)\pm \sqrt{ 9} }{2*1} \to x= \frac{5\pm 3 }{2} \to \\\\ x'= \frac{5+ 3 }{2} \to x'= \frac{8 }{2} \to x'=4\\\\ x''= \frac{5- 3 }{2} \to x''= \frac{2 }{2} \to x''=1\\\\\\ S=(1;4)$

Espero ter ajudado...