Question

3x^2-7x-4=0
A. One rational solution
B. Two rational solution
C. Two irrational solution
D. One complex solution
E. Two complex soltuions

Answer 1

find the determinant \[\sqrt{b^2 - 4ac}\]. where a = 3, b = -7 and c = -4

Answer 2

Did you find the discriminant, b^2-4ac? It will tell you exactly what kind of solutions you have.

D=0 means 1 rational solution
D>0 and a perfect square means 2 rational solutions
D>0 and not a perfect square means 2 irrational solutions
D<0 means 2 complex solutions

A quadratic equation can't have 1 complex solution.

Answer 3

sorry discriminant