# How do you solve #2x^2 - x = 6# graphically and algebraically?

##### 1 Answer

#### Explanation:

Let's draw graph of the expression using graphing tool.

graph{2x^2-x-6 [-9.86, 10.14, -7.64, 2.36]}

Observe in the graph where it intersects

Given equation is

Taking all terms to left hand side we get

Let's try **split the middle term method**.

Product of first and third term

Let's find two parts of middle term so that their product is equal to above.

From (1)

From (2)