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

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

Get rid of x to complete the square

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 $x$ .