What is the first step in solving the quadratic equation [tex]x^2 - 40 = 0[/tex]?

x^2- 40 = 0\ \ \ \Leftrightarrow\ \ \ x^2-(2 \sqrt{10} )^2=0\\\\\ \ \ \Leftrightarrow\ \ \ (x-2 \sqrt{10} )(x+2 \sqrt{10} =0\\\\ \ \ \Leftrightarrow\ \ \ x=2 \sqrt{10} \ \ \ \ \ or\ \ \ \ \ x=-2 \sqrt{10

Answered by kate200468 | 2024-06-10

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
x 2 ​ = 40 ​
Simplify:
x = ± 40 ​ = ± 2 5 ​
Hence, the roots for the given equation is x = + 2 5 ​ , − 2 5 ​ .
Therefore, for solving the quadratic equation the first step is; Adding 40 to both sides of an equation. ;

Answered by OrethaWilkison | 2024-06-11

The first step in solving the quadratic equation x 2 − 40 = 0 is to add 40 to both sides of the equation, giving x 2 = 40 . This isolates the squared term and sets us up for further solving. From here, you would take the square root of both sides to find x .
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Answered by OrethaWilkison | 2024-10-09