Answer:
Given the quadratic equation: [tex]x^2-40=0[/tex]
Addition property of equality states that you add the same number to both sides of an equation.
Step 1.
[tex]x^2-40=0[/tex]
Add 40 to both sides of an equation:
[tex]x^2-40+40=0+40[/tex]
Simplify:
[tex]x^2=40[/tex] ......[1]
Step 2.
Take square root both sides in equation [1]; we have
[tex]\sqrt{x^2} =\sqrt{40}[/tex]
Simplify:
[tex]x=\pm \sqrt{40} =\pm 2\sqrt{5}[/tex]
Hence, the roots for the given equation is x = [tex]+2\sqrt{5}[/tex] , [tex]-2\sqrt{5}[/tex] .
Therefore, for solving the quadratic equation the first step is; Adding 40 to both sides of an equation.