Quadratic Equation Calculator

A quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the coefficients a, b, and c of the quadratic equation in its basic standardized form. The solution of a quadratic equation usually consists of two distinct real or complex roots, or one double root — calculated using the discriminant.

Calculation:

2 * x^{2} - 8 * x + 9 = 3 - x 2 x^{2} - 7 x + 6 = 0 a = 2; b = - 7; c = 6 D = b^{2} - 4 a c = 7^{2} - 4 \cdot 2 \cdot 6 = 1 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{7 \pm 1}{4} x_{1, 2} = \frac{7 \pm 1}{4} x_{1, 2} = 1.75 \pm 0.25 x_{1} = 2 x_{2} = 1.5 Factored form of the equation: 2 (x - 2) (x - 1.5) = 0

Solution in text:

2x²-7x+6=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 1
D > 0 ... The equation has two distinct real roots

x₁ = 2
x₂ = 1.5

P = {2; 1.5}