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Mathematics 6 Online
OpenStudy (anonymous):

√(2x-1)=-3 Help?

OpenStudy (jiteshmeghwal9):

by squaring both sides\[2x-1=9\]

OpenStudy (anonymous):

\[\sqrt{2x - 1} = -3\] Square on both sides. \[2x - 1 = 9\] Quite simple now, can you do it?

OpenStudy (jiteshmeghwal9):

solve for 'x' from here

OpenStudy (anonymous):

don't even start this problem \(\sqrt{2x-1}\) is positive, whereas \(-3\) is negative, so there is no solution

OpenStudy (anonymous):

don't square both sides, don't do anything at all a positive number cannot equal a negative one say "no solution" and be done

OpenStudy (anonymous):

which is good example of making sure you think before you apply some method to a problem

OpenStudy (anonymous):

Hmm... the sqrt(9) isn't -3, but I don't see how that disallows -3^2

OpenStudy (anonymous):

i am assuming you are looking for a real value for \(x\) and not two complex numbers whose square is \(-3\)

OpenStudy (jiteshmeghwal9):

but @satellite73 sir this gives the condition of the question but he needs to solve for 'x'

OpenStudy (anonymous):

I didn't think from that point of view.

OpenStudy (anonymous):

That was a good point.

OpenStudy (anonymous):

Allright, I think I'm getting it. Thanks for all the help. :)

OpenStudy (anonymous):

if so (and i really really doubt it) then this method \[2x-1=9\] \[2x=10\] \[x=5\] will certainly not work, and the check is easy \[\sqrt{2\times 5-1}=\sqrt{9}=3\neq -3\]

OpenStudy (jiteshmeghwal9):

hmmmm......

OpenStudy (jiteshmeghwal9):

u r right sir :) sorry!

OpenStudy (anonymous):

Excellent answer, satellite73!

OpenStudy (jiteshmeghwal9):

@math0101 for steps u can first solve it & prove this wrong or other answer is as @satellite73 sir's answer :)

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