How many, and what type of solutions does the following quadratic equation have?
2x2 - 3x - 7 = 36
2x^2 - 3x - 7 = 36 subtract 36 from both sides
2x^2 - 3x - 43 = 0
Since the discriminant is
(-3)^2 - (4)(2)(-43)
9 + 344
353 > 0
We wil have two real roots