Use the discriminant to determine the type and number of solutions. x(2x + 11) = 40
A) Two imaginary solutions
B) Two rational solutions
C) Two irrational solutions
D) One rational solution

Question

Quizplus · Accepted Answer

The equation can be rewritten as 2x^2 + 11x - 40 = 0. The discriminant is b^2 - 4ac = 11^2 - 4(2)(-40) = 121 + 320 = 441, which is a perfect square, indicating two rational solutions.

Use the Discriminant to Determine the Type and Number of Solutions