Please answer all questions and you will get brainliest:

For what real values of $c$ is $x^2 - 8x + c$ the square of a binomial?

For what real values of $s$ is $x^2 + sx + 144$ the square of a binomial?

For what real values of $c$ is $4x^2 + 14x + c$ the square of a binomial?

Question 1

We want to find real values of c, for which

is the square of a binomial.

If the above quadratic equation is the square of a binomial, then its discriminant is zero.

This implies that:

where a=1, and b=-8

We substitute the values into the formula:

Question 2

We want to find the value of s for which

is the square of a binomial.

In this case too the discriminant must be zero.

D=b² -4ac=0

We put a=1,b=s, and c=144 to obtain:

Question 3

We want to find the value of c, for which

Again we have:

We put a=4 and b=14

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step-by-step explanation:

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^