Step-by-step 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
