Arseniy O.

asked • 05/06/17

Solve the Equation

   _____
√(y+2)2=c
 
solve for y

Mark M.

Is that a fraction?
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05/06/17

Arseniy O.

no, it is supposed to say √((y+2)2)=c
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05/06/17

1 Expert Answer

By:

Katie B. answered • 05/06/17

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Patient and knowledgeable Chemistry, Math, Science, English tutor

Arseniy O.

it is not c-2, i already tried it.
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05/07/17

Sylvan O.

What makes you think the answer is not c-2?
 
Try it again, plugging in "c-2" for y.
 
The first step is to recognize what Katie said - that the square root of a square is the original number.
So if you cancel out the ^2 and the radical (the square root sign) on the left side (not touching the right side), what are you left with after you plug in "c-2" for y?
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05/07/17

Arseniy O.

the website that checks my hw says that it is wrong. y can be negative, but no matter how big y is, c will never be negative.
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05/07/17

Katie B.

Thanks Sylvan! The only possible change I can think of is ± (y + 2) = c (accounting for c being the square of a negative number). 
 
This means two answers are possible: 
 
My original answer of y = c - 2 and 
 
-y - 2 = c => y = -c - 2
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05/07/17

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