what is the first step in solving the quadratic equation x2 – 40 = 0? taking the square root of both sides of the equation adding 40 to both sides of the equation squaring both sides of the equation subtracting 40 from both sides of the equation
we have
\(x^{2}-40=0\)
Step 1
Adds \(40\) to both sides of the equation
\(x^{2}-40+40=0+40\)
\(x^{2}=40\)
Step 2
Take the square root of both sides
\(\sqrt{x^{2}}= \sqrt{40}\)
\(x=(+/-)\sqrt{40} \\x1=+\sqrt{40}=2\sqrt{10} \\ x2=-\sqrt{40}=-2\sqrt{10}\)
therefore
the answer is
the first step in solving the quadratic equation is
Adds \(40\) to both sides of the equation