QuestionFind the roots of by rewriting it as with integers and .
Studdy Solution
STEP 1
Assumptions1. The given equation is . We are asked to find the roots of this equation by completing the square3. The completed square form is , where and are integers
STEP 2
First, let's rewrite the quadratic equation in the form .
can be rewritten as
STEP 3
Now, let's group the terms to form a perfect square.
can be rewritten as
STEP 4
Next, let's simplify the equation.
can be simplified to
STEP 5
Further simplifying the equation, we get
STEP 6
Now, let's rewrite the equation in the form .
can be rewritten as
STEP 7
Now, we can find the roots of the equation by taking the square root of both sides.
STEP 8
Finally, solve for to find the roots of the equation.
The roots of the quadratic equation are and .
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