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:
8∗(x−6)+8∗x=(x−6)∗x −x2+22x−48=0 x2−22x+48=0 a=1;b=−22;c=48 D=b2−4ac=222−4⋅1⋅48=292 D>0 x1,2=2a−b±D=222±292=222±273 x1,2=11±8.544004 x1=19.544003745 x2=2.455996255 Factored form of the equation: (x−19.544003745)(x−2.455996255)=0
Solution in text:
-x2+22x-48=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 292
D > 0 ... The equation has two distinct real roots
x1 = 19.5440037
x2 = 2.4559963
P = {19.5440037; 2.4559963}