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)=2450 n2−n−2450=0 a=1;b=−1;c=−2450 D=b2−4ac=12−4⋅1⋅(−2450)=9801 D>0 n1,2=2a−b±D=21±9801 n1,2=21±99 n1,2=0.5±49.5 n1=50 n2=−49 Factored form of the equation: (n−50)(n+49)=0
Solution in text:
n2-n-2450=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 9801
D > 0 ... The equation has two distinct real roots
n1 = 50
n2 = -49
P = {50; -49}