# How do you solve the equation #4x^2-8x=5# by graphing?

##### 1 Answer

Mar 5, 2017

#### Explanation:

To solve this equation graphically first rewrite the equation as:

Consider the LHS to be

Now plot the graph of

graph{4x^2-8x-5 [-20.27, 20.28, -10.13, 10.14]}

The solutions for x can be seen as the intercepts of the graph with the

By zooming in on the graph above, these can be sen to be:

-0.5 and +2.5

To check this result consider:

Thus: