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:
b2−b−12=0b2−b−12=0p=1;q=−1;r=−12D=q2−4pr=12−4⋅1⋅(−12)=49D>0b1,2=2p−q±D=21±49b1,2=21±7b1,2=0.5±3.5b1=4b2=−3 Factored form of the equation: (b−4)(b+3)=0
Solution in text:
b2-b-12=0 ... quadratic equation
Discriminant: D = b2 - 4ac = 49 D>0 ... The equation has two distinct real roots