Question

Solve the following quadratic equation using square roots. Round to the nearest hundredth if necessary: (x + 16 )2/9 = 7
.(1 point)
{
}

Note: Write your answer in set notation.

Answer 1

Solve: (x + 16)^{2/9} = 7

Raise both sides to the 9th power: (x + 16)^2 = 7^9
Take square roots: x + 16 = ±7^{9/2}
So x = -16 ± 7^{9/2}.

Exact solution set: { -16 - 7^{9/2}, -16 + 7^{9/2} }
Rounded to the nearest hundredth: { -6368.45, 6336.45 }