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.
\n" ); 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
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Algebra.Com's Answer #484533 by stanbon(75887)\"\" \"About 
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.
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\n" ); document.write( "f(x) = x^4-16
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\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::
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\n" ); document.write( "= [(1-sqrt(5))^2-4)]
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\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)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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