Question

x²- 11 x + 10 =0 : alguem

Answer 1

Resposta:

x' = 10

x" = 1

Explicação passo-a-passo:

$x^{2}- 11 x + 10 =0 \\\\\frac{-b\ \pm \sqrt{b^{2}-4*a*c } }{2*a}\\ \\a = 1\\b = -11\\c = 10\\\\\frac{-(-11)\ \pm \sqrt{(-11)^{2}-4*1*10 } }{2*1}\\\\\frac{11\ \pm \sqrt{121-40 } }{2}\\\\\frac{11\ \pm \sqrt{81} }{2}\\\\\frac{11\ \pm\ 9}{2}\\\\x' = \frac{11\ +\ 9}{2} = \frac{20}{2} = 10\\ \\x" = \frac{11\ -\ 9}{2} =  \frac{2}{2} = 1$