Quadratic equation calculator

Quadratic equation has the basic form:
ax2+bx+c=0ax^2+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:

a26+10a=4/8a a2+9.5a6=0  p=1;q=9.5;r=6 D=q24pr=9.5241(6)=114.25 D>0  a1,2=q±D2p=9.5±114.252 a1,2=4.75±5.344389581608 a1=0.59438958160799 a2=10.094389581608   Factored form of the equation:  (a0.59438958160799)(a+10.094389581608)=0 a^2-6+10a=4/8a \ \\ a^2 +9.5a -6 =0 \ \\ \ \\ p=1; q=9.5; r=-6 \ \\ D = q^2 - 4pr = 9.5^2 - 4\cdot 1 \cdot (-6) = 114.25 \ \\ D>0 \ \\ \ \\ a_{1,2} = \dfrac{ -q \pm \sqrt{ D } }{ 2p } = \dfrac{ -9.5 \pm \sqrt{ 114.25 } }{ 2 } \ \\ a_{1,2} = -4.75 \pm 5.344389581608 \ \\ a_{1} = 0.59438958160799 \ \\ a_{2} = -10.094389581608 \ \\ \ \\ \text{ Factored form of the equation: } \ \\ (a -0.59438958160799) (a +10.094389581608) = 0 \ \\

Solution in text:

a2+9.5a-6=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 114.25
D>0 ... The equation has two distinct real roots

a1 = 0.59438958160799
a2 = -10.094389581608

P = {0.59438958160799; -10.094389581608}