When will the equation x^2 = c, where c is a whole number, have two solutions? Explain.

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When will the equation x^2 = c, where c is a whole number, have two solutions? Explain.

Mathematics
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take the square root on both sides
|dw:1438851091329:dw| what is the square root of x^2 ?
nugh this only works for positive numbers.. -______-!!!!!!!!! like let c = 1 for example

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|dw:1438851198257:dw| I think I've jumped the gun on this...
or maybe not.... if we let c = 5 maybe... |dw:1438851256186:dw|
yeah when c ........ sfklsdjkljf240329048390sdaf when c is an odd number... not a perfect square... then we take the square root of both sides and have two solutions, one positive square root of 5 and one negative square root of 5.. then if we let \[x = \sqrt{5}, -\sqrt{5}\] and plug it back into the equation.. perhaps \[(\sqrt{5})(\sqrt{5}) = 5\] \[5=5 \] and then \[(-\sqrt{5})(-\sqrt{5}) = 5\] \[5=5 \] sorry trainwreck explanation.. I'm sure someone smarter than me will debunk it one way or another
it sounded ok to me at first... like if we have all odd numbers (probably mostly primes) then whatever I wrote would work ???
it seems okay, at least it makes sense to me, thank you

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