document.write( "Question 1071260: The binomial (1+kx)^n where n>3. The coefficient of x^2 and x^3 are equal. Find k in terms of n \n" ); document.write( "
Algebra.Com's Answer #686268 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The terms in x3 and k2  in \r\n" );
document.write( "the expansion of (1+kx)n  are respectively\r\n" );
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document.write( "\"%28matrix%282%2C1%2Cn%2Cn-3%29%29k%5E3x%5E3\" and \"%28matrix%282%2C1%2Cn%2Cn-2%29%29k%5E2x%5E2\"\r\n" );
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document.write( "The coefficients are\r\n" );
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document.write( "\"%28matrix%282%2C1%2Cn%2Cn-3%29%29k%5E3\" and \"%28matrix%282%2C1%2Cn%2Cn-2%29%29k%5E2\"\r\n" );
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document.write( "Since they are equal,\r\n" );
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document.write( "\"%28matrix%282%2C1%2Cn%2Cn-3%29%29k%5E3\"\"%22%22=%22%22\"\"%28matrix%282%2C1%2Cn%2Cn-2%29%29k%5E2\"\r\n" );
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document.write( "\"%28matrix%282%2C1%2Cn%2Cn-3%29%29k\"\"%22%22=%22%22\"\"%28matrix%282%2C1%2Cn%2Cn-2%29%29\"\r\n" );
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document.write( "\"%28matrix%282%2C1%2Cn%2C3%29%29k\"\"%22%22=%22%22\"\"%28matrix%282%2C1%2Cn%2C2%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28%28n%28n-1%29%28n-2%29%29%2F3%21%29k\"\"%22%22=%22%22\"\"n%28n-1%29%2F2%21\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28%28n-2%29%29%2F3%21%29k\"\"%22%22=%22%22\"\"1%2F2%21\"\r\n" );
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document.write( "\"%28%28n-2%29%29%2F6%29k\"\"%22%22=%22%22\"\"1%2F2\"\r\n" );
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document.write( "\"%28n-2%29k\"\"%22%22=%22%22\"\"3\"\r\n" );
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document.write( "\"k\"\"%22%22=%22%22\"\"3%2F%28n-2%29\"\r\n" );
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document.write( "Edwin
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