Question

Solve the following quadratic equation for all values of xx in simplest form.
2, left parenthesis, x, plus, 6, right parenthesis, squared, plus, 16, equals, 34
2(x+6)
2
+16=
34

Answer 1

Solve 2(x + 6)^2 + 16 = 34.

1. Subtract 16: 2(x + 6)^2 = 18
2. Divide by 2: (x + 6)^2 = 9
3. Take square roots: x + 6 = ±3
4. Solve: x = -6 ± 3 → x = -3 or x = -9

Solution: x = -3, -9.