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:
a2−3/4∗a∗20=990a2−15a−990=0p=1;q=−15;r=−990D=q2−4pr=152−4⋅1⋅(−990)=4185D>0a1,2=2p−q±D=215±4185=215±3465a1,2=7.5±32.345787979272a1=39.845787979272a2=−24.845787979272 Factored form of the equation: (a−39.845787979272)(a+24.845787979272)=0
Solution in text:
a2-15a-990=0 ... quadratic equation
Discriminant: D = b2 - 4ac = 4185 D>0 ... The equation has two distinct real roots