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:
(100−2p)∗(100−p)=100∗(100−62.5)2p2−300p+6250=0a=2;b=−300;c=6250D=b2−4ac=3002−4⋅2⋅6250=40000D>0p1,2=2a−b±D=4300±40000p1,2=4300±200p1,2=75±50p1=125p2=25 Factored form of the equation: 2(p−125)(p−25)=0
Solution in text:
2p2-300p+6250=0 ... quadratic equation
Discriminant: D = b2 - 4ac = 40000 D>0 ... The equation has two distinct real roots