Quadratic equation calculator

Quadratic equation has the basic form: ax2+bx+c=0
eq2
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:

140=3sqrt(3)a2+30a 5.1961524227066a230a+140=0 5.1961524227066a2+30a140=0  p=5.196152;q=30;r=140 D=q24pr=30245.196152(140)=3809.8453567157 D>0  a1,2=2pq±D=10.39230530±3809.85 a1,2=2.886751±5.939389 a1=3.052638008 a2=8.8261407   Factored form of the equation:  5.1961524227066(a3.052638008)(a+8.8261407)=0 

Solution in text:

-5.1961524227066a2-30a+140=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 3809.8453567157
D > 0 ... The equation has two distinct real roots

a1 = 3.052638
a2 = -8.8261407

P = {3.052638; -8.8261407}