Question

Suppose f(x)=32+4x^2

Calculate the exact value(s) of x when f(x)=6.If there is more than one such value, enter all possible values as a comma separated list.

Answer 1

6 = 32 + 4x^2
6-32 = 4x^2
-26 = 4x^2
-6.5 = x^2

you also get imaginary solutions ? cause no real solutions here..

Answer 2

How would I write that?

Answer 3

imaginary : i = sqrt(-1) so :
sqrt(-6.5) = x
x = i * sqrt(6.5)
x = +/- sqrt(6.5) * i

Answer 4

Okay thanks

Answer 5

I typed it in and it's not accepting it for some reason

Answer 6

wait they are both good..

so maybe you dont have to use imaginary solutions
and then there is no real solution ..