Question

Solve the following quadratic equation for all values of xx in simplest form.
2, left parenthesis, x, plus, 9, right parenthesis, squared, minus, 29, equals, 33
2(x+9)
2
−29=
33

Answer 1

Assuming the equation is 2(x + 9)^2 − 29 = 33:

2(x + 9)^2 = 62
(x + 9)^2 = 31
x + 9 = ±√31
x = −9 ± √31

So the solutions are x = −9 + √31 and x = −9 − √31 (approximately −3.43 and −14.57).