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Taking Square Root | Up
Mathematics Volume 1 of 2 | Next
Factoring Quadratic Equations |
QUADRATIC EQUATIONS
Algebra
Now take the square roots of both sides of the equation.
x =
(2-3)
Thus, the roots of a pure quadratic equation written in general form ax2 + c = 0 are
x = +
and x = -
.
Example:
Find the roots of the following pure quadratic equation.
4x2 - 100 = 0
Solution:
Using Equation 2-3, substitute the values of c and a and solve for x.
x =
x =
x = ± 25
x = ±5
Thus, the roots are x = 5 and x = -5.
MA-02
Page 20
Rev. 0
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