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andriy [413]
3 years ago
14

Which two values of x are roots of the polynomial below? x2 - 11x + 13

Mathematics
1 answer:
swat323 years ago
6 0

<u>Answer-</u>

<em>The values of x, which are the roots of the polynomial are </em>

\dfrac{11+ \sqrt{69}}{2},\ \dfrac{11- \sqrt{69}}{2}

<u>Solution-</u>

The given polynomial,

=x^2 - 11x + 13

We know that,

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here,

a = 1, b = -11, c = 13

Putting the values,

x=\dfrac{-(-11)\pm \sqrt{(-11)^2-4\times 1\times 13}}{2\times 1}

=\dfrac{11\pm \sqrt{121-52}}{2}

=\dfrac{11\pm \sqrt{69}}{2}

\therefore x=\dfrac{11+ \sqrt{69}}{2},\ \dfrac{11- \sqrt{69}}{2}

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LekaFEV [45]

Answer:

D

Step-by-step explanation:

A triangle is always determined by the names of its angles. If, for any reason, you wanted to label it by its side names(which I don't even think you can do but assuming you wanted to), you dont even have the names for all three sides here. So, it can only be d. A, X, and T are the three angle names for this triangle, so this is triangle ATX or AXT.

8 0
2 years ago
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Half of the students in Max's class volunteer at the local community center.Fifteen students do not volunteer.If there are 12 bo
Crazy boy [7]
The answer is 18. the equation is (15 x 2) - 12. hope I helped :)
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3 years ago
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Perform the indicated operation. X^3+43-49x-7x^2 divides by x^2-49
BaLLatris [955]

Answer:

The quotient is: x-7

and remainder is : -300

Step-by-step explanation:

We need to divide X^3+43-49x-7x^2 by x^2-49

First arrange the term  X^3+43-49x-7x^2 in terms of ascending order of x.

Arranging we get:

x^3 - 7x^2 -49x + 43 \  x^2-49

The division steps are shown in figure attached.

The quotient is: x-7

and remainder is : -300

4 0
3 years ago
Whats the equation of the line given f(3)=5 and f(7)=9
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Use symbols.com as it helps me
5 0
3 years ago
A small school had 60% boys and the rest are girls if the number of boys is 48 what is the total number of boys and girls all to
Flura [38]

Hey there!

When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.

If the small school had 60% boys, it will have 40% girls. The number of boys <em>is</em> 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.

0.6t=48

We divide both sides by 0.6.

t=80

Therefore, there are 80 total kids at the school.

We can also check our answer below.

BOYS: 0.6(80)= 48

GIRLS: 0.4(80)=32

48+32=80

I hope that this helps!

5 0
3 years ago
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