Quadratic equation calculator

Quadratic equation has the basic form:
ax2+bx+c=0

eq2
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:

140=3sqrt(3)a2+30a 5.19615242271a230a+140=0 5.19615242271a2+30a140=0  p=5.19615242271;q=30;r=140 D=q24pr=30245.19615242271(140)=3809.84535672 D>0  a1,2=q±D2p=30±3809.8510.3923048454 a1,2=2.88675135±5.93938935376 a1=3.05263800781 a2=8.8261406997   Factored form of the equation:  5.19615242271(a3.05263800781)(a+8.8261406997)=0 

Solution in text:

-5.19615242271a2-30a+140=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 3809.84535672
D>0 ... The equation has two distinct real roots

a1 = 3.05263800781
a2 = -8.8261406997

P = {3.05263800781; -8.8261406997}