Question

x²+4x+10=34
Me ajudem por favor só falta essa aí!!! ​

Answer 1

Resposta:

$\text{Leia abaixo}$

Explicação passo-a-passo:

$x^2 + 4x + 10 = 34$

$x^2 + 4x + 10 - 34 = 0$

$x^2 + 4x -24 = 0$

$\Delta = b^2 - 4.a.c$

$\Delta = 4^2 - 4.1.(-24) = 16 + 96$

$\Delta = 112 = 4^2.7$

$x' = \dfrac{-b + \sqrt{\Delta}}{2a} = \dfrac{-4 + \sqrt{4^2.7}}{2} = \dfrac{-4 + 4\sqrt{7}}{2} = -2 + 2\sqrt{7}$

$x'' = \dfrac{-b - \sqrt{\Delta}}{2a} = \dfrac{-4 - \sqrt{4^2.7}}{2} = \dfrac{-4 - 4\sqrt{7}}{2} = -2 - 2\sqrt{7}$

$\boxed{\boxed{\text{S} = \left\{-2 + 2\sqrt{7}, -2 -2\sqrt{7}\right \}}}$