Question

menos x ao quadrado + 5x - 6 = 0 ​

Answer 1

Resposta:

x = {2, 3}

Explicação passo-a-passo:

P     x      = -6/-1

S     +      = -5/-1

P    x     = 6

S    +    = 5

P  2 x 3 = 6

S  2 + 3 = 5

Answer 2

$-x^2+5x-6=0\\\\x_{1,\:2}=\frac{-5\pm \sqrt{5^2-4\left(-1\right)\left(-6\right)}}{2\left(-1\right)}\\\\x_{1,\:2}=\frac{-5\pm \:1}{2\left(-1\right)}\\\\x_1=\frac{-5+1}{2\left(-1\right)},\:x_2=\frac{-5-1}{2\left(-1\right)}\\\\\frac{-5+1}{2\left(-1\right)}\\\\=\frac{-4}{-2\cdot \:1}\\\\=\frac{-4}{-2}\\\\=\frac{-4}{-2}\\\\=2$

$\frac{-5-1}{2\left(-1\right)}\\\\=\frac{-6}{-2\cdot \:1}\\\\=\frac{-6}{-2}\\\\=\frac{6}{2}\\\\=3$

$x=2,\:x=3$