What value should be added to the expression to create a perfect square?
1 answer:
Let's take a look at a perfect square trinomial.
We can distribute this expression to get
.
An important relation to recognize here is that the constant is the square of half of the x value.
Now, if we wanted to add a number to
to make a perfect square trinomial, we could have the value of x and then square it.
Half of 16 is 8, and 8 squared is
We can distribute this expression to get
An important relation to recognize here is that the constant is the square of half of the x value.
Now, if we wanted to add a number to
Half of 16 is 8, and 8 squared is
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Hope this help’s you out.
Looks like you did most of it.
The next step would be setting them equal to 105, like the problem suggests.
Then we can plug back in to find the numbers.
The three numbers are .
Hope this helps.
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