# 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
*
reduced
*
quadratic equation:

*
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