Solve quadratic equations of the form ax² + bx + c = 0. Get real solutions, discriminant value, and step-by-step explanations.
Δ = b² - 4ac
For 2x² + 5x - 3 = 0:
a = 2, b = 5, c = -3
Δ = 5² - 4(2)(-3) = 25 + 24 = 49
x = (-5 ± √49) / 4 = (-5 ± 7) / 4
x₁ = 0.5, x₂ = -3