Question

resolva esta conta para mim ?   x² + 10 = 7x

Answer 1

x² + 10 = 7x
x² - 7x + 10 = 0
Soma das raízes: -b/a = 7
Produto das raízes: c/a = 10
x, = 2
x,, = 5

Answer 2

$x^2 + 10 = 7x \to x^2 + 10 - 7x = 0 \to \boxed{x^2 -7x + 10 = 0}$

$|a = 1 | b = -7 | c = 10 | \\ \\ \Delta = b^2-4ac \\ \Delta = (-7)^2 - 4.1.10 \\ \Delta = 49 - 40 \\ \Delta = 9$

$x = \frac{-b\pm \sqrt{\Delta} }{2a} \\ \\ x = \frac{-(-7) \pm \sqrt{9} }{2.1} = \frac{7 \pm 3}{2} \\ \\ \boxed{x' = \frac{7+3}{2} = \frac{10}{2} = 5} \\ \\\boxed{ x'' = \frac{7-3}{2} = \frac{4}{2} = 2}$