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Question

Question: If \(\Rightarrow\)and \(1 = A + C\)then....

If \Rightarrowand 1=A+C1 = A + Cthen.

A

\therefore

B

A=38,B=34,C=58A = \frac{3}{8},B = \frac{3}{4},C = \frac{5}{8}

C

\therefore

D

x2+1(x2+4)(x2)=38x+34x2+4+58x2\frac{x^{2} + 1}{(x^{2} + 4)(x - 2)} = \frac{\frac{3}{8}x + \frac{3}{4}}{x^{2} + 4} + \frac{\frac{5}{8}}{x - 2}

Answer

x2+1(x2+4)(x2)=38x+34x2+4+58x2\frac{x^{2} + 1}{(x^{2} + 4)(x - 2)} = \frac{\frac{3}{8}x + \frac{3}{4}}{x^{2} + 4} + \frac{\frac{5}{8}}{x - 2}

Explanation

Solution

x2+x20=0x^{2} + x - 20 = 0

= \Rightarrow

= (x4)(x+5)=0(x - 4)(x + 5) = 0

= \Rightarrow

= x=4,5x = 4, - 5

= x=4x = 4

= log418=12log2(32.2)=12(2log23+log22)\log_{4}18 = \frac{1}{2}\log_{2}(3^{2}.2) = \frac{1}{2}(2\log_{2}3 + \log_{2}2), =log23+12,= \log_{2}3 + \frac{1}{2}, (0.05)log20(0.1+0.01+......)=(120)2log20(0.110.1)(0.05)^{\log_{\sqrt{20}}(0.1 + 0.01 + ......)} = \left( \frac{1}{20} \right)^{2\log_{20}\left( \frac{0.1}{1 - 0.1} \right)}.