Enter the coefficients a, b, c of quadratic equation in 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:
5∗n(n−1)=(n+3)∗(n+2)4n2−10n−6=0a=4;b=−10;c=−6D=b2−4ac=102−4⋅4⋅(−6)=196D>0n1,2=2a−b±D=810±196n1,2=810±14n1,2=1.25±1.75n1=3n2=−0.5 Factored form of the equation: 4(n−3)(n+0.5)=0
Solution in text:
4n2-10n-6=0 ... quadratic equation
Discriminant: D = b2 - 4ac = 196 D>0 ... The equation has two distinct real roots