Question

Solve the following quadratic equation for all values of xx in simplest form.
4, left parenthesis, x, plus, 6, right parenthesis, squared, minus, 50, equals, 26
4(x+6)
2
−50=
26

Answer 1

Start with the equation: 4(x + 6)^2 - 50 = 26.

Add 50 to both sides:
4(x + 6)^2 = 76

Divide by 4:
(x + 6)^2 = 19

Take square roots:
x + 6 = ±√19

So
x = -6 ± √19.