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)=9900 n2−n−9900=0 a=1;b=−1;c=−9900 D=b2−4ac=12−4⋅1⋅(−9900)=39601 D>0 n1,2=2a−b±D=21±39601 n1,2=21±199 n1,2=0.5±99.5 n1=100 n2=−99 Factored form of the equation: (n−100)(n+99)=0
Solution in text:
n2-n-9900=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 39601
D > 0 ... The equation has two distinct real roots
n1 = 100
n2 = -99
P = {100; -99}