# Solution of a quadratic equation

*Formulas for solution of non-reduced*

and reduced quadratic equation.

and reduced quadratic equation.

In general case of a non-reduced quadratic

equation:

* ax*^{ 2
}* + bx + c = 0 ,*

* *

its roots are found by the formula:

If to divide all terms of a non-reduced

quadratic equation by *a
*(is it possible

?), and to sign

*b / a = p*and

*c / a = q ,*then we’ll receive the

*quadratic equation:*

**reduced**
* x *

^{2}* + px + q = 0 ,*

roots of which are calculated by the

formula:

E x a m p l e . *x *

^{2}*
*+ 5

*x*+ 6 = 0 .

*Here*

*p =*5,

*q =*6. Then we have:

hence, * x*_{1}*= * – 5 / 2

+ 1 / 2*
= *– 2 ,

*x*

_{2}

*=*– 5 / 2 – 1 / 2 = – 3