Complete the square – Getting rid of the square (easily)

(the first of three ways to solve (find the roots) of quadratics)

Completely get rid of the square

When it’s easy we complete the square as follows:

Examples

`x^2=9`                    Solve    `x=sqrt9`          `x=+-3`

`x^2=5`                    Solve    `x=sqrt5`

`(x-7)^2=3`        Solve    `x=7+-sqrt3`

See how we completely got rid of the square

Get any quadratic in the form
`(x-7)^2`
then we can find the values of `x`.