Using the quadratic formula determine the number and the type of solutions of -2x^2 + 7x = 10

Answer 1

The first step is to move everything over to one side of the equation. This gives us 2x²-7x+10=0 To determine the number and type of solutions, find the discriminant. b²-4ac In this problem a=2, b=-7 and c=10. This means this problem is

(-7)²-4(2)(10) =

49-80=-31

Since the discriminant is negative, this means there are no real solutions, there are 2 complex solutions.