document.write( "Question 321244: sqrt(x^2-2)/sqrt(7 x-25)= sqrt(2)
\n" ); document.write( "I need help its me for Find all real solutions of the equation. (If there are extra answer boxes, enter NONE in the last boxes.) ive tried everything but i still do not understand can you send me how you guys performed this operation i'd appreciate it thanks \n" ); document.write( "
Algebra.Com's Answer #230047 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%28x%5E2-2%29%2Fsqrt%287x-25%29\"= \"sqrt%282%29\"
\n" ); document.write( "this can be written under a single radical on the left
\n" ); document.write( "\"sqrt%28%28x%5E2-2%29%2F%287x-25%29%29\"= \"sqrt%282%29\"
\n" ); document.write( "Now we have a single radical on each side, square both sides and we're rid of em
\n" ); document.write( "\"%28x%5E2-2%29%2F%287x-25%29\" = 2
\n" ); document.write( "Multiply both sides by (7x-25), and you have
\n" ); document.write( ":
\n" ); document.write( "x^2 - 2 = 2(7x - 25)
\n" ); document.write( ":
\n" ); document.write( "x^2 - 2 = 14x - 50
\n" ); document.write( "arrange as a quadratic equation on the left
\n" ); document.write( "x^2 - 14x - 2 + 50 = 0
\n" ); document.write( ":
\n" ); document.write( "x^2 - 14x + 48 = 0
\n" ); document.write( "Easily factors to
\n" ); document.write( "(x-8)(x-6) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 8
\n" ); document.write( "and
\n" ); document.write( "x = 6
\n" ); document.write( ":
\n" ); document.write( "Check both these solutions in the original problem using a calc
\n" ); document.write( "x=8
\n" ); document.write( "\"sqrt%288%5E2-2%29%2Fsqrt%287%288%29-25%29\"= \"sqrt%282%29\"
\n" ); document.write( " \"sqrt%2862%29%2Fsqrt%2831%29\"= 1.414
\n" ); document.write( "\"7.874%2F5.568\"= 1.414; confirms this solution
\n" ); document.write( ":
\n" ); document.write( "You should check x=6, the same way \n" ); document.write( "
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