Quadratic equation calculator
Quadratic equation has the basic form: ax2+bx+c=0Enter 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:
−4x2+5x=0 −4x2+5x=0 4x2−5x=0 a=4;b=−5;c=0 D=b2−4ac=52−4⋅4⋅0=25 D>0 x1,2=2a−b±D=85±25 x1,2=85±5 x1,2=0.625±0.625 x1=1.25 x2=0 Factored form of the equation: 4(x−1.25)x=0
Solution in text:
-4x2+5x=0 ... c=0; quadratic equation without constant termDiscriminant:
D = b2 - 4ac = 25
D > 0 ... The equation has two distinct real roots
x1 = 1.25
x2 = 0
P = {1.25; 0}