Question

Solve the quadratic equation 5x2 - 125 = 0. Show all your steps.

Answer 1

I know I do something like x^2 - b = c

Answer 2

\[\begin{align}
5x^2-125&=0\\
5x^2&=125\\
x^2&=25\\
x&=\pm5
\end{align}\]

Answer 3

You just divided by 5?

Answer 4

To solve this by factoring you first must divide the eqn by 5.

Then subtract the right-hand result.

Now you have the diff of 2 squares you should be able to factor it from there.

Answer 5

Okay, factor what?

Answer 6

(x+5)(x-5)=0
i.e x=+5,x=-5

Answer 7

Ohh right! Thank you!