3 years ago

True or false???????????

Mathematics

2 answers:

Sedbober [7]3 years ago

6 0

The answer is true because they are both positive numbers

AleksandrR [38]3 years ago

5 0

True.
no matter what value you put in x, it will produce positive real numbers.

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(2,0) (3,9) equation

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Step-by-step explanation:

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3 years ago

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Paha777 [63]

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3 years ago

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

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

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Multiply numerator and denominator by the denominator's conjugate:

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3 years ago