Question

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

Answer 1

`x=\pm2i\sqrt{(2)/(3)}`

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) =-(8)/(3)`

square root both sides

`x=\pm\sqrt{-(8)/(3)}`

Remember that

`i=√(-1)`

so

`x=\pm i\sqrt{(8)/(3)}`

simplify

`x=\pm2i\sqrt{(2)/(3)}`