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

Verified Answer :

Neuron

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.

For this case we have the following polynomial:

\(x ^ 2 - 25 = 0
\)

We can solve the polynomial by factoring.

We have then:


\((x + 5) (x-5) = 0
\)

From here, we clear the solutions of the equation.

Solution 1:

\(x + 5 = 0

x = -5\)

Solution 2:

\(x-5 = 0

x = 5\)

Answer:

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

x = 5 and x = -5