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:
n∗(n−1)=3080 n2−n−3080=0 a=1;b=−1;c=−3080 D=b2−4ac=12−4⋅1⋅(−3080)=12321 D>0 n1,2=2a−b±D=21±12321 n1,2=21±111 n1,2=0.5±55.5 n1=56 n2=−55 Factored form of the equation: (n−56)(n+55)=0
Solution in text:
n2-n-3080=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 12321
D > 0 ... The equation has two distinct real roots
n1 = 56
n2 = -55
P = {56; -55}