# How do you solve #2x^2 - x - 5 = 0# by completing the square?

##### 1 Answer

#### Answer:

#### Explanation:

From the given

Factor out the 2 from the first two terms so that the coefficient of

Now take note of the 1/2 coefficient of x. Divide this 1/2 by 2 it becomes 1/4. Square it, it will become 1/16. This 1/16 will be added and subtracted to the terms inside the grouping symbol.

Let us continue

Notice

so that

Now, transpose the 5 to the right side then divide both sides by 2 then transpose the 1/16

Simplify

Extract the square root of both sides

God bless...I hope the explanation is useful.