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:
45∗(12+v)=(8∗(12+v)−45)∗(12−v) 8v2−72=0 8=23 0=0 72=23⋅32 GCD(8,0,72)=23=8 v2−9=0 v1,2=±9=±3 v1=3 v2=−3
Solution in text:
8v2-72=0 ... b=0; pure quadratic equationDiscriminant:
D = b2 - 4ac = 2304
D > 0 ... The equation has two distinct real roots
v1 = 3
v2 = -3
P = {3; -3}