Determine the type and number of solutions of 6x^2-7x-4=0

Question

Determine the type and number of solutions of 6x²-7x-4=0

 

Please and thank you!

Answer 1

The discriminant of Ax² + Bx + C = 0 is B² - 4AC

 

For the given equation, the discriminant is (-7)² - 4(6)(-4) = 49 + 96

                                                                                                       = 145

 

Since the discriminant is positive and not a perfect square, there are 2 solutions of the equation which are real and irrational.  To find them, use the quadratic formula.