Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.

Question

x2 = 5x + 6

Answer 1

x^2 - 5x - 6 = 0
discr. = 25 - 4(1)(-6) which is positive, so you have 2 different real roots