3 years ago

Pleaseee helpppp it dueee in 10 minutessss!!!

Mathematics

1 answer:

PolarNik [594]3 years ago

4 0

Answer:

I believe the answer will be C

Step-by-step explanation:

hope this helps

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!

timama [110]

$x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0$

By the quadratic formula,

$x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2$

Then

$(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2$

$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

Multiply numerator and denominator by the denominator's conjugate:

$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$

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3 years ago

What is true about the sides KNM?

Archy [21]

Kn=nm is the answer

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4 years ago

Can someone help me out with these two problems having trouble please !!

eimsori [14]

Answer:

x=-10

x=-6

x=10

x=-3

Step-by-step explanation:

to find the zeros of a function you need to set it equal to zero:

x^2+16x+60=0

then you factor

(x+10)(x+6)=0

then you have to finish factoring/simplifying

x+10=0

-10

x=-10

x+6=0

-6

x=-6

and the same thing for number 2

x^2-7x-30=0

(x-10)(x-3)=0

x=10, x=3

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2 years ago

Read 2 more answers

In a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning. If the florist uses up half

11Alexandr11 [23.1K]

Answer:

it would stay the same

Step-by-step explanation:

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3 years ago

Need help, what is the answer???

IRISSAK [1]

Answer:

Step-by-step explanation:

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3 years ago