4x/x²-4 = a/x-2+b/x+2

<p>Asumsikan ditanya nilai a dan b.</p><p>&nbsp;</p><p>4x/(x²-4) = a/(x-2) + b/(x+2)</p><p>4x/(x²-4) = [a(x+2)+b(x-2)] / [(x-2)(x+2)]</p><p>4x/(x²-4) = (ax+2a+bx-2b) / (x²-4)</p><p>4x/(x²-4) = ((a+b)x+2a-2b) / (x²-4)</p><p>&nbsp;</p><p>didapat</p><p>4x = (a+b)x+2a-2b</p><p>&nbsp;</p><p>jadi a+b=4 dan 2a-2b=0</p><p>2a-2b=0</p><p>a-b=0</p><p>a=b</p><p>&nbsp;</p><p>a+b=4</p><p>a+a=4</p><p>2a=4</p><p>a=2</p><p>&nbsp;</p><p>a=2 maka b=2 juga</p><p>&nbsp;</p><p>Jadi nilai a=2 dan b=2</p>