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Mathematics 14 Online
OpenStudy (anonymous):

another difficult question, please help

OpenStudy (anonymous):

\[\sqrt{x}=-7, then x=49\]

OpenStudy (anonymous):

true or false

OpenStudy (lgbasallote):

\[\sqrt x = -7\] try squaring both sides what do you get?

OpenStudy (anonymous):

49!

OpenStudy (lgbasallote):

so therefore...is it true or false?

OpenStudy (anonymous):

false because it actually has to equal -49, the negative sign just never showed up. or would it still be true?

OpenStudy (lgbasallote):

wait...you said then x = 49... is it 49 or -49? the question i mean

OpenStudy (anonymous):

its x=-49

OpenStudy (lgbasallote):

ahh then it is false

OpenStudy (lgbasallote):

-7^2 can never equal -49

OpenStudy (amistre64):

it depends on a few things really;

OpenStudy (lgbasallote):

but \[\sqrt x = -7\] i doubt this will be -49

OpenStudy (amistre64):

in general, a sqrt function can never be negative

OpenStudy (lgbasallote):

can it? o.O

OpenStudy (amistre64):

but using the quadratic formula as an example sqrt(49) gets us 7 and -7 for answers ....

OpenStudy (anonymous):

sorry to interrupt but square root of a real number is always positive \[\sqrt{x} is always positive\] Thats why whenever u find the roots of quadratic its: \[x = (-b \pm \sqrt{D})\div 2*a\] see its \[\pm \sqrt{D}\]

OpenStudy (anonymous):

i need help with this also \[\sqrt[3]{x^2}\] Write using a fractional exponent.

OpenStudy (amistre64):

\[\sqrt[b]{n^a}=n^{a/b}\]

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