Question

Equação PFVR

2x²-3x-4=1

Answer 1

Utilizando a fórmula de Bháskara.

$2x^2-3x-4=1\\2x^2-3x-4-1=0\\2x^2-3x-5=0$

Coeficientes: a = 2, b = -3 e c = -5

$\Delta=b^2-4ac\\\Delta=(-3)^2-4\cdot2\cdot(-5)\\\Delta=9+40\\\Delta=49$

$x=\frac{-b+-\sqrt{\Delta}}{2a}\\\\x=\frac{-(-3)+-\sqrt{49}}{2\cdot2}\\\\x=\frac{3+-7}{4}\\\\x_1=\frac{3+7}{4}=\frac{10}{4}\div2=\frac{5}{2}=2\frac{1}{2}=2,5\\\\x_2=\frac{3-7}{4}=\frac{-4}{4}=-1$


Espero ter ajudado.
Bons estudos! :)