Question

For the following quadratic, determine the discriminant, the number of real solutions, and then solve using the quadratic formula:

2x to the power of 2 + 5x - 6 = 0

Answer 1

Explanation:

2x² + 5x − 6 = 0

The discriminant is:

D = b² − 4ac

D = 5² − 4(2)(-6)

D = 73

The discriminant is positive, so there are two real distinct roots.

Solving with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = (-5 ± √73) / 4