Question

como se resolve x ao quadrado sobre 2 mais 8 igual a 5x

Answer 1

$\frac{x^{2} }{2}+8=5x~~~~tirando~~~MMC: \\ \\ x^2+16=10x \\ x^2-10x+16=0 \\ \\ \Delta=100-4.1.16 \\ \Delta=36 \\ \\ x= \frac{10+- \sqrt{36} }{2} \\ \\ x'= \frac{10+6}{2}=8 \\ \\ x''= \frac{10-6}{2}= 2 \\ \\ Verificando: \\ \\ \\ \frac{8^2}{2}+8=5.8 \\ \\ 32+8=40 \\ 40=40 \\ \\ \frac{2^2}{2}+8=2.5 \\ \\ 2+8=10 \\ \\ 10=10 \\ \\ \boxed{S={8,2}}$