Simplify the complex fraction: (49-x^2)^1/2 + 9x^2(49-x^2)^-1/2 / 49-x^2

1 answer:

3 0

[(49 - x^2)^(1/2) + 9x^2(49 - x^2)^(-1/2)] / (49 - x^2)
= (49 - x^2)^(-1/2) * [(49 - x^2) + 9x^2 * 1] / (49 - x^2), via factoring
= (49 + 8x^2) / [(49 - x^2) (49 - x^2)^(1/2)]
= (49 + 8x^2) / (49 - x^2)^(3/2).

I hope this helps!

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Lostsunrise [7]

Center = $(h,k) = (0,2.25)$
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Step-by-step explanation:

Here we have following equation : $x^{2}+(y-2.25)^{2} = \dfrac{196}{169}$

We need to find the center & radius of this circle . Let's find out:

We know that , Equation of a circle is given by :

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Here , (h,k) are the co-ordinates of center & r is the radius of circle.Collectively called as a circle with radius r and center at (h,k) . Let's frame given equation in question :

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