document.write( "Question 1009871: In the binomial expansion of (k+ax)4 the coefficient of x2 is 54.
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document.write( "Given that a and k are both positive, find the value of ak. \r
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document.write( "This is my working:
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document.write( "(k+ax)^4 = k^4 + 4k^3ax + 6k^2ax^2 + 4kax^3
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document.write( "=6k^2a = 54
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document.write( "=k^2a = 9
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document.write( "ka = 3\r
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document.write( "Given also that the coefficient of x in the expansion is 48, find the value of k
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document.write( "?? \n" );
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Algebra.Com's Answer #625363 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In the binomial expansion of (k+ax)4 the coefficient of x2 is 54. \n" ); document.write( "Given that a and k are both positive, find the value of ak. \n" ); document.write( "This is my working: \n" ); document.write( "(k+ax)^4 = k^4 + 4k^3ax + 6k^2(ax)^2 + 4k(ax)^3 + (ax)^4 \n" ); document.write( "=6k^2a^2 = 54 \n" ); document.write( "(ka)^2 = 9 \n" ); document.write( "ka = 3 \n" ); document.write( "-------- \n" ); document.write( "Given also that the coefficient of x in the expansion is 48, find the value of k \n" ); document.write( "4k^3a = 48 \n" ); document.write( "k^3a = 12 \n" ); document.write( "(ak) = 12/k^2 \n" ); document.write( "-------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------- \n" ); document.write( " |