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:
3x2−16x+2=0 3x2−16x+2=0 a=3;b=−16;c=2 D=b2−4ac=162−4⋅3⋅2=232 D>0 x1,2=2a−b±D=616±232=616±258 x1,2=2.666667±2.538591 x1=5.205257702 x2=0.128075631 Factored form of the equation: 3(x−5.205257702)(x−0.128075631)=0
Solution in text:
3x2-16x+2=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 232
D > 0 ... The equation has two distinct real roots
x1 = 5.2052577
x2 = 0.1280756
P = {5.2052577; 0.1280756}