document.write( "Question 1176439: If k^2=k+5, express the following in terms of k and a constant only.
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Algebra.Com's Answer #803347 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "If k^2=k+5, express the following in terms of k and a constant only.
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document.write( "(a)  k^3 = k*k^2 = replace k^2 by (k+5)  and continue\r\n" );
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document.write( "                 = k*(k+5) = k^2 + 5k = replace k^2 by (k+5) and continue \r\n" );
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document.write( "                 = (k+5) + 5k = 6k + 5.     ANSWER\r\n" );
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document.write( "(b)  k^4 = k*k^3 = replace k^3 by (6k+5), based on (a), and continue\r\n" );
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document.write( "                 = k*(6k+5) = 6k^2 + 5k = replace k^2 ny (k+5)  and continue\r\n" );
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document.write( "                 = 6*(k+5) + 5k = 6k + 30 + 5k = 11k + 30.    ANSWER\r\n" );
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