Find the roots of the equation using the method of factoring. x^2 - 10x + 25 = 0Show the complete solution and explain the answer.

You could also apply quadratic formula to determine the
factors of the given quadratic.

Let's recall the formula
first:

`x_(1,2) = [-b+-sqrt(b^2 -4ac
)]/(2a)`

We'll identify the coefficients
a,b,c:

a = 1 ; b = -10 and c =
25

`x_(1,2) = (10+-sqrt(100 -
100))/2`

`x_(1,2) = 10/2`

`x_1
= x_2 = 5`

We notice that the roots of equation are equal,
therefore we can re-write the quadratic:

`(x - x_1)(x -
x_2) = 0`

`(x - 5)(x - 5) =
0`

`(x - 5)^2 =
0`

Therefore, the quadratic equation will
have two equal solutions `x_1 = x_2 = 5.`