Question

Solve the following quadratic equation for all values of xx in simplest form.
2, left parenthesis, x, plus, 1, right parenthesis, squared, equals, 50
2(x+1)
2
=
50

Answer 1

Start with 2(x + 1)^2 = 50. Divide both sides by 2:

(x + 1)^2 = 25.

Take square roots:

x + 1 = ±5.

So x = -1 ± 5, giving x = 4 or x = -6.