Solving Quadratic Equations Using the Square Root Property Summary

Key Concepts

• Square Root Property
  If \({x}^{2}=k\), and \(k\ge 0\), then \(x=\sqrt{k}\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}x=\text{−}\sqrt{k}\).

Glossary

quadratic equation

A quadratic equation is an equation of the form \(a{x}^{2}+bx+c=0\), where \(a\ne 0.\)

Square Root Property

The Square Root Property states that, if \({x}^{2}=k\) and \(k\ge 0\), then \(x=\sqrt{k}\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}x=\text{−}\sqrt{k.}\)