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:
(x+2)(x−3)=24x2−x−30=0a=1;b=−1;c=−30D=b2−4ac=12−4⋅1⋅(−30)=121D>0x1,2=2a−b±D=21±121x1,2=21±11x1,2=0.5±5.5x1=6x2=−5 Factored form of the equation: (x−6)(x+5)=0
Solution in text:
x2-x-30=0 ... quadratic equation
Discriminant: D = b2 - 4ac = 121 D > 0 ... The equation has two distinct real roots