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