document.write( "Question 48266This question is from textbook College Algebra
\n" ); document.write( ": Find all solutions of the system of equations:
\n" ); document.write( "x^4 - y^3 = 17
\n" ); document.write( "3x^4 + 5y^3 = 53\r
\n" ); document.write( "\n" ); document.write( "I'm getting weird radical answers that just can't be right.\r
\n" ); document.write( "\n" ); document.write( "Thank you so much! \n" ); document.write( "
Algebra.Com's Answer #32024 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
x^4 - y^3 = 17 can be expressed as: x^4 = y^3 + 17
\n" ); document.write( "Plug: 3x^4 + 5y^3 = 53
\n" ); document.write( "3(y^3 + 17) + 5y^3 = 53
\n" ); document.write( "3y^3 + 51 + 5y^3 = 53
\n" ); document.write( "8y^3 = 2
\n" ); document.write( "y^3 = 1/4
\n" ); document.write( "y = 4^(2/3)/4
\n" ); document.write( "Plug:
\n" ); document.write( "x^4 - y^3 = 17
\n" ); document.write( "x^4 - (4^(2/3)/4)^3 = 17
\n" ); document.write( "x^4 - 1/4 = 68/4
\n" ); document.write( "x^4 = 67/4
\n" ); document.write( "x = +- 67^(1/4)4^(3/4)/4
\n" ); document.write( "P(67^(1/4)4^(3/4)/4,4^(2/3)/4) and P(-67^(1/4)4^(3/4)/4,4^(2/3)/4)
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