document.write( "Question 42227: Find all real or imaginary solution to the equation.\r
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Algebra.Com's Answer #27366 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Okay from \n" ); document.write( "sqrt(7x + 29) = x + 3 \n" ); document.write( "we square both sides and get \n" ); document.write( "7x + 29 = (x + 3)^2 \n" ); document.write( "7x + 29 = x^2 + 6x + 9 \n" ); document.write( "now collect terms and rearrange \n" ); document.write( "x^2 - x - 20 = 0 \n" ); document.write( "(x - 5)(x + 4) = 0 \n" ); document.write( "x = 5 or x = -4 \n" ); document.write( "now we have to plug these in to see which (if any) check out... \n" ); document.write( "if we do that we find that only x = 5 works... \n" ); document.write( " |