document.write( "Question 803858: my problem is x^4-16 it says to plug in 1- the square root of 5 in my x spot.
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document.write( "I do that and get a number and they say it is wrong, they want an expression like 15- 3 the square root of 5. But i cant figure out how to get an answer like that \n" );
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Algebra.Com's Answer #484533 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! x^4-16 it says to plug in 1- the square root of 5 in my x spot. \n" ); document.write( "------ \n" ); document.write( "f(x) = x^4-16 \n" ); document.write( "------ \n" ); document.write( "f(1-sqrt(5)) = (1-sqrt(5))^4 - 16 \n" ); document.write( "Note: That is a difference of squares. \n" ); document.write( "Factor:: \n" ); document.write( "------ \n" ); document.write( "= [(1-sqrt(5))^2-4)] \n" ); document.write( "------ \n" ); document.write( "Square the squaring terms:: \n" ); document.write( "= [1+5-2sqrt(5)-4] \n" ); document.write( "------- \n" ); document.write( "= [2-2sqrt(5)] \n" ); document.write( "------- \n" ); document.write( "= [2(1-sqrt(5))] \n" ); document.write( "-------- \n" ); document.write( "= 4(1-sqrt(5))(5-sqrt(5)) \n" ); document.write( "-------- \n" ); document.write( "= [4(5-6sqrt(5))+5] \n" ); document.write( "-------- \n" ); document.write( "= 20-24sqrt(5) + 5 \n" ); document.write( "---------------- \n" ); document.write( "= 25 - 24sqrt(5) \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |