Question

Dê o conjunto solução da equação: x² - 15x +56 = 0 ​

Answer 1

Resposta:

$x^{2}-15 x +56=0$

$x^{2} -15 x+56=0\\ a=1\\b=15\\c=56\\x=\frac{-b^{2} +-\sqrt{b^{2}-4ac}}{2.a}\\x=\frac{(-15)^{2} +-\sqrt{15^{2}-4.1.56}}{2.1}\\x=\frac{{225} +-\sqrt{225-224}}{2}\\x=\frac{{225} +-{1}}{2}\\\\x^{1}=\frac{225+1}{2}=\frac{226}{2}=113\\\\x^{2}=\frac{225-1}{2}=\frac{224}{2}=112\\\\x^{1}=113 \\\\x^{2}=112$