Quadratic equation calculator

Quadratic equation has the basic form:

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

Enter the quadratic equation's coefficients a, b, and c of its basic standardized form. A solution of quadratic equations is usually two different real or complex roots or one double root — the calculation using the discriminant.

Calculation:

3 - x = 2 * x^{2} - 8 * x + 9 - 2 x^{2} + 7 x - 6 = 0 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}