QuestionRewrite as with integers and .
Studdy Solution
STEP 1
Assumptions1. The given equation is . We need to write it in the form where and are integers
STEP 2
The general form of a perfect square trinomial is . We can see that the coefficient of in our equation is , which is twice the value of in the perfect square trinomial.
So, we can write
STEP 3
olving for gives us
STEP 4
Now we have , we can write our equation in the form of a perfect square trinomial
STEP 5
Comparing this with our original equation , we see that the constant term in our perfect square trinomial is , which is greater than the constant term in our original equation.
So, we need to subtract a certain number from our perfect square trinomial to get our original equation. This number is the difference between and .
STEP 6
Subtracting from our perfect square trinomial gives us our original equationSo, the given equation can be written in the form as .
Was this helpful?