document.write( "Question 1185270: X2/2×-6=9/6×-18 solve for x \n" ); document.write( "
Algebra.Com's Answer #816073 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "X2/2×-6=9/6×-18 solve for x

\n" ); document.write( "(1) Don't mix \"X\" and \"x\" in the same problem to denote the same number. It is perfectly legal (and often convenient) to use both lower- and upper-case letters to represent different quantities.

\n" ); document.write( "(2) It is also possible you intended your lower-case \"x\" to be a multiplication symbol (as the other tutor interpreted it). That is an extremely bad practice, since it is easily confused with the variable x.

\n" ); document.write( "(3) It is standard to use \"^^\" (shift-6) to represent exponentiation: \"x^2\" instead of just \"x2\"

\n" ); document.write( "(4) Use of parentheses is often critical. The equation as you show it is

\n" ); document.write( "x^2/2x-6=9/6x-18 = \"x%5E2%2F2x-6=9%2F6x-18\"

\n" ); document.write( "I suspect the intended equation is

\n" ); document.write( "x^2/(2x-6)=9/(6x-18) = \"x%5E2%2F%282x-6%29=9%2F%286x-18%29\"

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\n" ); document.write( "So, having gotten past the very poor presentation of your equation, I suspect this is what we are supposed to solve:

\n" ); document.write( "\"x%5E2%2F%282x-6%29=9%2F%286x-18%29\"

\n" ); document.write( "Divide numerator and denominator on the right by 3

\n" ); document.write( "\"x%5E2%2F%282x-6%29=3%2F%282x-6%29\"

\n" ); document.write( "\"x%5E2=3\" (noting the restriction that x can't be 3 because it would make the denominators 0)
\n" ); document.write( "ANSWER: \"x=sqrt%283%29\" or \"x=-sqrt%283%29\"

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