Example 7: Solve the following equations by factoring. 1 9x^2-6x+1=0

Name: Example 7: Solve the Following Equations by Factoring. 1 9x^2-6x+1=0
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Question

Answer 1

To solve the quadratic equation

by factoring, we first need to rewrite it in a form that can be factored. Notice that the quadratic can be written as a perfect square trinomial:

So, the equation becomes:

To solve for

, we take the square root of both sides:

Solving for

:

Therefore, the solution to the equation

is:

Soru