QUADRATIC EQUATIONS
Algebra
The roots of this quadratic equation are found by setting the two factors equal to zero and solving
the resulting equations.
x = 0
(2-6)
x = -
(2-7)
b
a
Thus, the roots of a quadratic equation in which the numerical constant c is zero are x = 0 and
x = - .
b
a
Example:
Find the roots of the following quadratic equation.
3x2 + 7x = 0
Solution:
Using Equation 2-6, one root is determined.
x = 0
Using Equation 2-7, substitute the values of a and b and solve for x.
x = -b
a
x = -7
3
Thus, the roots are x = 0 and x = - .
7
3
MA-02
Page 24
Rev. 0
