Solution of a quadratic equation
Formulas for solution of nonreduced and reduced quadratic equation.
In general case of a nonreduced quadratic
equation:
ax^{ 2
} + bx + c = 0 ,
its roots are found by the formula:
If to divide all terms of a nonreduced
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}
+ 5x + 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
Back
