So we need to solve the following equation for x:
[tex]x^2=49[/tex]We can apply a square root to both sides but it is important to remember the following property. For any given number a we have:
[tex]\sqrt[]{a^2}=\lvert a\rvert[/tex]Which means that:
[tex]\sqrt[]{a^2}=a\text{ and }\sqrt[]{a^2}=-a[/tex]So for our case we have:
[tex]\begin{gathered} \sqrt[]{x^2}=\sqrt{49} \\ \lvert x\rvert=7 \\ x=7\text{ and }x=-7 \end{gathered}[/tex]Then the solutions are 7 and -7.
