Solve the equation:
[tex]x^2=49[/tex]The simplest method to solve the equation is to apply the square root on both sides of the equation:
[tex]\sqrt{x^2}=\sqrt{49}[/tex]Since the square and the square root are inverse functions, they cancel out, leaving us with the equation:
[tex]x=\sqrt{49}[/tex]We must find a number such that its square results in 49. That number is 7. But we must recall that there is another number that produces 49 when squared. That number is -7.
This gives us two solutions. It can be written:
[tex]x=\pm7[/tex]The equation has two solutions:
x = 7, x = -7
