Question

Find the solutions to the equation below.

Check all that apply.
x2 - 25 = 0
A. X= 3
B. x = -5
C. X = 1
D. X = -3
E. x = 5
I F. x = -1

Answer 1

Answer: x = + 5

Explanation: To solve the equation x² - 25 = 0, our first step is to get the x² term by itself by adding 25 to both sides of the equation.

On the left side of the equation, the -25 and +25 cancel out and we have x² and on the right side of the equation, 0 + 25 is 25.

So we have x² = 25².

Now to get x by itself, we take the square

root of both sides of the equation.

On the left, the square root of x² is x snd on the right, since 25is the perfect square 5 · 5, the square root of 25 is 5 and don't forget to use plus or minus when taking the square root of both sides of an equation.

So our answer is x = + 5.

Answer 2

x = -5, 5

Explanation:

x^2 - 25 = 0

Add 25 to each side

x^2 -25+25 = 0+25

x^2 = 25

Take the square root on each side

sqrt(x^2) = ±sqrt(25)

x = ±5