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:

900 / 15 = b ((600 / 2 - 60) / 15 - b) b^{2} - 16 b + 60 = 0 p = 1; q = - 16; r = 60 D = q^{2} - 4 p r = 1 6^{2} - 4 \cdot 1 \cdot 60 = 16 D > 0 b_{1, 2} = \frac{- q \pm D}{2 p} = \frac{1 6 \pm 1 6}{2} b_{1, 2} = \frac{1 6 \pm 4}{2} b_{1, 2} = 8 \pm 2 b_{1} = 10 b_{2} = 6 Factored form of the equation: (b - 10) (b - 6) = 0

Solution in text:

b²-16b+60=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 16
D > 0 ... The equation has two distinct real roots

b₁ = 10
b₂ = 6

P = {10; 6}