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:
pow(x−1,2)+pow(x−4,2)=5 2x2−10x+12=0 2 ... prime number 10=2⋅5 12=22⋅3 GCD(2,10,12)=2=2 x2−5x+6=0 a=1;b=−5;c=6 D=b2−4ac=52−4⋅1⋅6=1 D>0 x1,2=2a−b±D=25±1 x1,2=25±1 x1,2=2.5±0.5 x1=3 x2=2 Factored form of the equation: (x−3)(x−2)=0
Solution in text:
2x2-10x+12=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 4
D > 0 ... The equation has two distinct real roots
x1 = 3
x2 = 2
P = {3; 2}