3 years ago

Help this is due in a few minutes!!

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

I think it’s a im not that sure though

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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:

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

3 0

3 years ago

Guys I need your help

vesna_86 [32]

Answer:

5x - 2 = 3x = 14

8x -2 = 14

8x = 14 + 2

8x = 16

x = 2

Step-by-step explanation:

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3 years ago

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Which of the following pairs of functions are inverses of each other?

yan [13]

The answer is c hopefully it helps

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3 years ago

What is the median of 18 and 16

eduard

The median is the middle number. The median of 18 and 16 would be 17.
18 17 16...therefore 17 is the middle number.

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4 years ago

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If you get this I’ll mark you brilliance

djyliett [7]

Answer:

$1256cm^{3}$

Step-by-step explanation:

Use the formula for the volume of a cylinder $V=3.14(r^{2}) h$ so then you plug in the values to get $1256cm^{3}$

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3 years ago