Enter 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:
108=(12+b)∗b−b2−12b+108=0b2+12b−108=0p=1;q=12;r=−108D=q2−4pr=122−4⋅1⋅(−108)=576D>0b1,2=2p−q±D=2−12±576b1,2=2−12±24b1,2=−6±12b1=6b2=−18 Factored form of the equation: (b−6)(b+18)=0
Solution in text:
-b2-12b+108=0 ... quadratic equation
Discriminant: D = b2 - 4ac = 576 D > 0 ... The equation has two distinct real roots