Question

Determine o conjunto solução da equação x² = x + 12

Answer 1

Resposta:

S = {-3, 4}

Explicação passo a passo:

x² = x + 12

x² - x - 12 = 0

a = 1

b = -1

c = -12

$\Delta=b^2-4ac\\\\\Delta=(-1)^2-4.1(-12)\\\\\Delta= 1+48\\\\\Delta= 49\\\\x=\frac{-b\pm\sqrt{\Delta} }{2a}\\\\x=\frac{-(-1)\pm7}{2.1}\\\\x=\frac{1+7}{2} \\\\x=\frac{8}{2}\\\\x=4~~~~ou~~~~x= \frac{1-7}{2}\\\\x=\frac{-6}{2} \\\\x=-3$