Question

Solve equation by completing the square round to the nearest hundredth if necessary
X2-4x-=5

Answer 1

x=-1 and x=5

Explanation:

we have

`x^(2) -4x=5`

Solve it by completing the square method

We take the coefficient of x that is -4, divide it by 2 and then square it

so

`-(4)/(2)=-2`

square it

`(-2)^2 = 4`

Adds 4 both sides

`x^(2) -4x+4=5+4`

Combine like terms right side

`x^(2) -4x+4=9`

Rewrite as perfect squares

`(x-2)^(2)=9`

take square root both sides

`x-2=\pm3`

`x=2\pm3`

therefore

`x=2+3=5`

`x=2-3=-1`