Question

Solve the following quadratic equation for all values of xx in simplest form.
2, left parenthesis, x, minus, 3, right parenthesis, squared, plus, 19, equals, 37
2(x−3)
2
+19=
37

Answer 1

Solve 2(x − 3)^2 + 19 = 37.

1. Subtract 19: 2(x − 3)^2 = 18
2. Divide by 2: (x − 3)^2 = 9
3. Take square roots: x − 3 = ±3
- x − 3 = 3 → x = 6
- x − 3 = −3 → x = 0

Solutions: x = 0 or x = 6.