2nd Degree Equation
Solve quadratic equations ax² + bx + c = 0.
Format:ax² + bx + c = 0
x² +x += 0
What is a Quadratic Equation?
The quadratic equation (or second-degree equation) is distinguished by having at least one term raised to the square (x²). Unlike first-degree equations that form a straight line and have only 1 result, the quadratic equation forms a parabola (a U-shaped curve) on a graph and can intersect the axis up to two times, generatingtwo possible roots (X1 and X2).
The Rules of Delta (Δ)
To solve this equation using the classic quadratic formula, the first step is to calculate the discriminant, commonly called Delta (Δ = b² - 4ac).
- If Δ is greater than 0:The equation will have two real and different roots.
- If Δ is equal to 0:The equation will have two real roots, but they will be exactly the same.
- If Δ is negative (less than 0):The equation has no roots within the real numbers, since there is no real square root of a negative number. Our calculator will notify you if this occurs!