What is the first step in solving the quadratic equation x2 – 40 = 0?

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 366 People

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

Answered by maham237 @ 22/12/2020

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

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