Solve. (Enter your answers as a comma-separated list.)
x2 − 8x + 15 = 0
(x-5)(x-3) = 0
x = 5,3
To get the answers for the quadratic equation x^2 - 8x + 15 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 1, b = -8, and c = 15.
Now, let's substitute these values into the quadratic formula:
x = (-(-8) ± √((-8)^2 - 4(1)(15))) / (2(1))
x = (8 ± √(64 - 60)) / 2
x = (8 ± √(4)) / 2
Simplifying further:
x = (8 ± 2) / 2
x = (8 + 2) / 2, or x = (8 - 2) / 2
x = 10 / 2, or x = 6 / 2
x = 5, or x = 3
Therefore, the solutions to the quadratic equation x^2 - 8x + 15 = 0 are x = 5 and x = 3.