# How do you solve #5x^2+3x-4=0# by completing the square?

##### 1 Answer

The roots are

#### Explanation:

From the given

factor out 5 from the first two terms

Use now the number 3/5. Divide this number by 2 then square the result to obtain 9/100. This 9/100 will be added and subtracted to terms inside the grouping symbol.

Let us continue

We now have a perfect square trinomial

Transpose now the -4 to the right side then divide by 5 both sides of the equation then transpose the -9/100 to the right also.

simplify

Extract the square root of both sides

The roots are

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