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:

168 = (370 - h) * h / 2 0.5 h^{2} - 185 h + 168 = 0 a = 0.5; b = - 185; c = 168 D = b^{2} - 4 a c = 18 5^{2} - 4 \cdot 0.5 \cdot 168 = 33889 D > 0 h_{1, 2} = \frac{- b \pm D}{2 a} = \frac{1 8 5 \pm 3 3 8 8 9}{1} = 185 \pm 33889 h_{1, 2} = 185 \pm 184.089652 h_{1} = 369.089652072 h_{2} = 0.910347928 Factored form of the equation: 0.5 (h - 369.089652072) (h - 0.910347928) = 0

Solution in text:

0.5h²-185h+168=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 33889
D > 0 ... The equation has two distinct real roots

h₁ = 369.0896521
h₂ = 0.9103479

P = {369.0896521; 0.9103479}