document.write( "Question 71407:
\n" ); document.write( "if x<1, prove that (1+x)^1+x(1-x)^1-x > 1 \n" ); document.write( "

Algebra.Com's Answer #51082 by venugopalramana(3286) $\"\"$ $\"About$

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if x<1, prove that (1+x)^1+x(1-x)^1-x > 1
\n" ); document.write( "HAVE YOU TYPED PROPERLY?AS YOU TYPED IT BECOMES
\n" ); document.write( "TST
\n" ); document.write( "1+X+X-X^2-X>1
\n" ); document.write( "LHS = 1+X-X^2 =1-[X^2-2X*0.5+0.5^2]+0.5^2
\n" ); document.write( "=1.25-(X-0.5)^2<=1.25 SINCE (X-0.5)^2>=0
\n" ); document.write( "IF X<1,X-0.5<0.5....HENCE (X-0.5)^2<0.25
\n" ); document.write( "LHS<=1.25-0.25=1
\n" ); document.write( "SO PLEASE CHECK YOUR PROBLEM \n" ); document.write( "

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