Quadratic equation calculator
Quadratic equation has the basic form: ax2+bx+c=0Enter 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+8)∗(x+7)=72 x2+15x−16=0 a=1;b=15;c=−16 D=b2−4ac=152−4⋅1⋅(−16)=289 D>0 x1,2=2a−b±D=2−15±289 x1,2=2−15±17 x1,2=−7.5±8.5 x1=1 x2=−16 Factored form of the equation: (x−1)(x+16)=0
Solution in text:
x2+15x-16=0 ... quadratic equationDiscriminant:
D = b2 - 4ac = 289
D > 0 ... The equation has two distinct real roots
x1 = 1
x2 = -16
P = {1; -16}