Question

3x^2-6=-14 in imaginary solution simplest form

Answer 1

Answer:

$x=\pm2i\sqrt{\frac{2}{3}}$

Step-by-step explanation:

we have

$3x^{2}-6=-14$

Solve for x

Adds 6 both sides

$3x^{2}-6+6=-14+6$

$3x^{2}=-8$

Divide by 3 both sides

$x^{2} =-\frac{8}{3}$

square root both sides

$x=\pm\sqrt{-\frac{8}{3}}$

Remember that

$i=\sqrt{-1}$

so

$x=\pm i\sqrt{\frac{8}{3}}$

simplify

$x=\pm2i\sqrt{\frac{2}{3}}$