David is 38 years old and his son Frank is 8. In how many years will David be twice as old as Frank?
1 answer:
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Answer:
Step-by-step explanation:
We have been given an expression . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form .
To convert our given expression into perfect square trinomial, we need to add and subtract from our given expression.
We can see that value of b is 11, so we need to add and subtract to our expression as:
Upon comparing our expression with , we can see that
,
and
.
Upon simplifying our expression, we will get:
Therefore, our perfect square would be .