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ACE, GENIUS, TRUSTED HELPERS!!!!!

If x = 2a − b^2 , which expression represents a? SHOW YOUR WORK!!!
I already know the answer, I just need help with the work. i am crying right now because no one is answering my questions correctly. people are putting wrong answers or are putting right answers without work. It really isn't nice.

A. X + B^2
B. (B^2 - x)/2
C. (X + B^2)/2
D. (x - b^2)/2

Please show work!!!
I beg of you!

User Dishant
by
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1 Answer

6 votes
Selection C is appropriate.

_____
Whenever you solve for something, consider what operations are done to that something. Undo them in reverse order.

Here, "a" is
• multiplied by 2
• has -b^2 added

The last operation is adding -b^2, so we undo that first. We undo it by adding its opposite, b^2.
.. x +b^2 = 2a -b^2 +b^2
.. x +b^2 = 2a . . . . . . . . . . . the point is to cancel the -b^2 term on the right.

The operation before that is multiplying "a" by "2". We undo that by multiplying by the reciprocal of 2, which is 1/2.
.. (1/2)*(x +b^2) = (1/2)*2a
.. (x +b^2)/2 = a . . . . . . . . . the point is to cancel the multiplication by 2 on the right.

You will note this matches answer selection C.
User Feras Odeh
by
8.5k points

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