Question

What are the solution(s) to the quadratic equation x2 – 25 = 0?

x = 5 and x = –5
x = 25 and x = –25
x = 125 and x = –125
no real solution

Answer 1

If you would like to find the solutions to the quadratic equation x^2 - 25 = 0, you can do this using the following steps:

x^2 - 25 = 0
(x + 5) * (x - 5) = 0
x^2 - 5x + 5x - 25 = 0
1. x = - 5
2. x = 5

The correct result would be x = 5 and x = –5.

Answer 2

For this case we have the following polynomial:

`image`

We can solve the polynomial by factoring.

We have then:

`image`

From here, we clear the solutions of the equation.

Solution 1:

`image`

Solution 2:

`image`

Answer:

the solutions to the quadratic equation x ^ 2 - 25 = 0 are:

x = 5 and x = -5