# How do you solve #x^2-x=2#?

##### 2 Answers

Solve

#### Explanation:

Since (a - b + c = 0), use shortcut -> One real root is **(-1)** and the other is **(-c/a = 2)**

The solutions are

#### Explanation:

To solve:

First we note that this is a quadratic equation. We are used to seeing quadratic equations as:

Now we have choices, we could try to factor, we could complete the square, we could use the quadratic formula. I like to try to factor first, because if the quadratic factors easily, I find that fastest. But don't spend a lot of time factoring, because we have 2 other methods that will work even if we can't easily find the factorization.

It is fairly straightforward to factor:

That leads to