Find the value of c that would make the expression a perfect square. z^2+z+c

Question

Answer 1

To make the expression

a perfect square, we need to find a value of

such that the expression can be written in the form

for some value

.Expanding

, we get:

Comparing this with the given expression

, we can see that the coefficient of

is 1, so we must have

. This means

.Now, we need to find the value of

. Since

, we have

. Substituting

, we get:

Therefore, the value of

that makes the expression a perfect square is

.We can check this:

Final Answer: The final answer is

Question