Question

4x ^ 2 - 10x + 10 = 0​

Answer 1

Resposta:

$x=\frac{5}{4}+i\frac{\sqrt{15}}{4}$ ou $\:x=\frac{5}{4}-i\frac{\sqrt{15}}{4}$

Explicação:

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

$x_{1,\:2}=\frac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:4\cdot \:10}}{2\cdot \:4}$

$x_{1,\:2}=\frac{-\left(-10\right)\pm \:2\sqrt{15}i}{2\cdot \:4}$

$x_1=\frac{-\left(-10\right)+2\sqrt{15}i}{2\cdot \:4},\:x_2=\frac{-\left(-10\right)-2\sqrt{15}i}{2\cdot \:4}$

$x = \frac{-\left(-10\right)-2\sqrt{15}i}{2\cdot \:4}:\frac{5}{4}-\frac{\sqrt{15}}{4}i$

$x=\frac{5}{4}+i\frac{\sqrt{15}}{4}$ ou $\:x=\frac{5}{4}-i\frac{\sqrt{15}}{4}$

Espero ter ajudado!