Algebra

sathyaram's Avatar
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29 Mar 2012 12:07:45 IST
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quadratic dude !!
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

  Find the real solutions of:

4\left( -1+\sqrt{1+x} \right)\left(1+\sqrt{1-x} \right)=x 



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Mayank  Mittal's Avatar

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Joined: 19 Feb 2011
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30 Mar 2012 12:02:15 IST
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no soln. as by the property of surds if a+sqrt(b) = x + sqrt(y) then a- sqrt(b) = x-sqrt(y) so first expand your question and then use this property and add both the equations and you will get 8=0 which is absolutely impossible so it has no real solutions
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30 Mar 2012 12:54:24 IST
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Vikram Saxena's Avatar

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6 May 2012 14:21:52 IST
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 X= 0 is the correct answer




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