Solve the quadratic equation.
x^2 - 10x + 25 = 0
To solve the quadratic equation x^2 - 10x + 25 = 0, we can use the quadratic formula.
The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, the equation is x^2 - 10x + 25 = 0, so a = 1, b = -10, and c = 25. Plugging these values into the quadratic formula, we get:
x = (-(-10) ± √((-10)^2 - 4(1)(25))) / (2(1))
x = (10 ± √(100 - 100)) / 2
x = (10 ± √0) / 2
x = (10 ± 0) / 2
Since the discriminant (b^2 - 4ac) is equal to zero, there is only one solution for this quadratic equation. Both solutions will be the same.
x = 10 / 2
x = 5
Therefore, the solution to the quadratic equation x^2 - 10x + 25 = 0 is x = 5.