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 0.5n2−0.5n−120=0 a=0.5;b=−0.5;c=−120 D=b2−4ac=0.52−4⋅0.5⋅(−120)=240.25 D>0 n1,2=2a−b±D=10.5±240.25 n1,2=0.5±15.5 n1=16 n2=−15 Factored form of the equation: 0.5(n−16)(n+15)=0
Solution in text:
0.5n2-0.5n-120=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 240.25
D > 0 ... The equation has two distinct real roots
n1 = 16
n2 = -15
P = {16; -15}