Question

Solve the equation given below:
$2 - \frac{3 - x}{x - 1} = \frac{3x + 4}{x + 1}$
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Answer 1

Step-by-step explanation:

$Correct option is</p><p></p><p>A</p><p></p><p>x=−1±21log10(1+11)</p><p></p><p>the given equation is</p><p>103x2+7x+4−2.10x2+3x+2=10x+x210</p><p>⇒   104x2+8x+4−2.102x2+4x+2=10</p><p>⇒   104(x2+2x+1)−2.102(x2+2x+1)=10</p><p>⇒   104(x+1)2−2.102(x+1)2=10</p><p>⇒   {102(x+2)2}2−2{102(x+2)2}=10          (i)</p><p>Let 102(x+1)2=y          (ii)</p><p>⇒   y2−2y=10   ⇒   y2−2y−10=0</p><p>⇒   y=22±4+40</p><p>⇒   y=1±11</p><p>⇒   y=1+11          (neglecting -ve sign as y> 0)</p><p>⇒   102(x−1)2=1+11</p><p>⇒   2(x+1)2=log10(1+11)</p><p>⇒   2(x+1)2=log10(1+11)</p><p>⇒   (x+1)2=21log10(1+11)</p><p>⇒   x+1=±21log10(1+11)</p><p>Hence, x=−1±21log10(1+11)</p><p></p><p>$

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Answer 2

Step-by-step explanation:

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