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:
6∗(x−9)+6∗x=(x−9)∗x −x2+21x−54=0 x2−21x+54=0 a=1;b=−21;c=54 D=b2−4ac=212−4⋅1⋅54=225 D>0 x1,2=2a−b±D=221±225 x1,2=221±15 x1,2=10.5±7.5 x1=18 x2=3 Factored form of the equation: (x−18)(x−3)=0
Solution in text:
-x2+21x-54=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 225
D > 0 ... The equation has two distinct real roots
x1 = 18
x2 = 3
P = {18; 3}