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:

4 x^{2} - 17 x + 4 = 0 4 x^{2} - 17 x + 4 = 0 a = 4; b = - 17; c = 4 D = b^{2} - 4 a c = 1 7^{2} - 4 \cdot 4 \cdot 4 = 225 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{1 7 \pm 2 2 5}{8} x_{1, 2} = \frac{1 7 \pm 1 5}{8} x_{1, 2} = 2.125 \pm 1.875 x_{1} = 4 x_{2} = 0.25 Factored form of the equation: 4 (x - 4) (x - 0.25) = 0

Solution in text:

4x²-17x+4=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 225
D > 0 ... The equation has two distinct real roots

x₁ = 4
x₂ = 0.25

P = {4; 0.25}