# For which of the following equations are x = 5 and x = –5 both solutions?

We will use the concept of a quadratic equation to find the required equation.

## Answer: x^{2} - 25 = 0

Let us see how we will use the concept of quadratic equation to find the required equation.

**Explanation:**

Suppose that any general form of quadratic equation that is ax^{2} + bx + c has solutions / roots m and n .

Then, the quadratic equation can also be written in the form of (x - m) (x - n) , that is (x - m) (x - n) = ax^{2} + bx + c

Similarly, the equation whose roots are x = 5 and x = –5 can be obtained as (x + 5) (x - 5) = 0