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:
7∗(x−10)+7∗x=(x−10)∗x −x2+24x−70=0 x2−24x+70=0 a=1;b=−24;c=70 D=b2−4ac=242−4⋅1⋅70=296 D>0 x1,2=2a−b±D=224±296=224±274 x1,2=12±8.602325 x1=20.602325267 x2=3.397674733 Factored form of the equation: (x−20.602325267)(x−3.397674733)=0
Solution in text:
-x2+24x-70=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 296
D > 0 ... The equation has two distinct real roots
x1 = 20.6023253
x2 = 3.3976747
P = {20.6023253; 3.3976747}