Use the discriminant only to determine the number and type of solutions for the following quadratic equations?

Question

a. -1=4x+x²

Answer 1

Rewrite the equation as:

x² + 4x + 1 = 0

Then, the discriminant is:

b² - 4ac = 16 - 4(1)(1) = 12

Since the discriminant is positive, the equation has 2 real solutions.