The discriminate formula is b squared minus four ac for quadratic equation in standard form ax squared plus bx plus c. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.The formula derives from the quadratic formula. Using the Discriminant to determine the number of REAL solutions to a quadratic equation. The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant won't tell you what the roots or Solutions of your quadratic equation are but they will tell you what kind of roots they are. The discriminant formula is Δ = b2 – 4ac, where a is the coefficient of 𝑥2, b is the coefficient of 𝑥 and c is the constant term of a quadratic. In this video I'm going to talk about using What's called the discriminant to find the number of solutions to a quadratic equation.