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Lovescats9191
31.03.2020 •
Mathematics
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?
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Ответ:
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
Ответ:
12-9=3
9 is not equal to 3