Question

Solve the radical equation 2x2+19x+17−−−−−−−−−−−−√3=2
to find the two solutions. Round the answer to one decimal place if needed.(1 point)

x = {-0.5, -9}

x = {-1,-9}

x = {-0.5, 8}

x = {-13
, 8}

Answer 1

Interpret the equation as ∛(2x^2 + 19x + 17) = 2. Cube both sides:
2x^2 + 19x + 17 = 8
2x^2 + 19x + 9 = 0
Factor: (2x + 1)(x + 9) = 0
So x = -1/2 = -0.5 or x = -9.

Answer: {-0.5, -9}