Find the value of c that would make the expression a perfect square. 7y^2-70y+c

Question

Answer 1

To make the expression

a perfect square, we need to find a value for

such that the expression can be written in the form

.First, factor out the coefficient of the

term:

Now, we need to complete the square inside the parentheses. We take half of the coefficient of the

term, which is

, and square it:

So, we have:

For the expression to be a perfect square, the term

must be equal to 0. Therefore,

So, the expression becomes:

Thus, the value of

that makes the expression a perfect square is 175.Final Answer: The final answer is

Question