document.write( "Question 427363: Solve equation. Check results.\r
\n" ); document.write( "\n" ); document.write( "√(x-2) = x-4 \n" ); document.write( "
Algebra.Com's Answer #297230 by John10(297)\"\" \"About 
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√(x-2) = x-4\r
\n" ); document.write( "\n" ); document.write( "Take square for both sides to eliminate the root on the left side\r
\n" ); document.write( "\n" ); document.write( "(√(x-2))^2 = (x-4)^2\r
\n" ); document.write( "\n" ); document.write( "(x - 2) = x^2 - 8x + 16\r
\n" ); document.write( "\n" ); document.write( "x^2 - 9x + 18 = 0\r
\n" ); document.write( "\n" ); document.write( "From here, we can use any methods to solve the quadratic equation\r
\n" ); document.write( "\n" ); document.write( "I will use A.C method to factoring the left side\r
\n" ); document.write( "\n" ); document.write( "(x - 6)(x - 3) =0\r
\n" ); document.write( "\n" ); document.write( "Apply the zero product property to let each binomial to be zero\r
\n" ); document.write( "\n" ); document.write( "x - 6 = 0 OR x - 3 = 0\r
\n" ); document.write( "\n" ); document.write( "x = 6 OR x = 3\r
\n" ); document.write( "\n" ); document.write( "Check your answer:\r
\n" ); document.write( "\n" ); document.write( "If x = 6 then the left side √(6-2)= √4 = 2 and the right side is 6 - 4 = 2\r
\n" ); document.write( "\n" ); document.write( "If x = 3 left side √(3-2)= √1 = 1 and the right side is 3 - 4 = -1\r
\n" ); document.write( "\n" ); document.write( "So the ONLY solution is x = 6\r
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