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Question

Question: The partial fractions of \(k^{2} = 4\) are....

The partial fractions of k2=4k^{2} = 4 are.

A

\Rightarrow

B

k=±2k = \pm 2

C

log16k\log_{16}k

D

k<0k < 0

Answer

k<0k < 0

Explanation

Solution

\Rightarrow

mn+m+3n=mn+2m+nmn + m + 3n = mn + 2m + n \Rightarrow

\Rightarrow xy=yx(xy)1/x=yx^{y} = y^{x} \Rightarrow (x^{y})^{1/x} = y

\therefore x(x/y)1=x(x/y)kk=1x^{(x/y) - 1} = x^{(x/y) - k} \Rightarrow k = 1

ax=by=(ab)xya^{x} = b^{y} = (ab)^{xy} Given expression

= \Rightarrow