# How do you solve 10x^2 = 250?

Aug 6, 2015

You can begin by dividing both sides by $10$. This is allways allowed in an equation.

#### Explanation:

Now you have ${x}^{2} = 25$, or
"find the number that will give $25$ when squared"

You would be tempted to take the square root:
$x = \sqrt{25} = 5$, but that is only half the answer, because:
${5}^{2} = 25$ but also ${\left(- 5\right)}^{2} = 25$

In questions like this, always look for the negative root.