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)=2∗120 n2−n−240=0 a=1;b=−1;c=−240 D=b2−4ac=12−4⋅1⋅(−240)=961 D>0 n1,2=2a−b±D=21±961 n1,2=21±31 n1,2=0.5±15.5 n1=16 n2=−15 Factored form of the equation: (n−16)(n+15)=0
Solution in text:
n2-n-240=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 961
D > 0 ... The equation has two distinct real roots
n1 = 16
n2 = -15
P = {16; -15}