Question

If 5p = -100 + 3Q2, which of the following could Q possibly be?

Answer 1

A. Q = square root of 5 times p minus 100 over 3

B. Q = square root of 5 times p plus 100 over 3

C. Q = square root of negative 5 times p plus 100 over 3

D. Q = square root of negative 5 times p minus 100 over 3

Answer 2

What do you mean by "Q2?"

Answer 3

5p = -100 +3Q^2 sorry

Answer 4

So much clearer. Thank you. It appears your job is to solve the given equation for Q. How would you do that?

Answer 5

I'm not really sure, I think I should subtract -100 from 5p

Answer 6

Which would really just be adding it

Answer 7

Why not "add 100 to both sides?"

Answer 8

Yeah that's what I meant haha

Answer 9

Then it would be 5p +100 = 3Q^2 so then I would divide both sides by 3

Answer 10

That's right. And what would your final solution step be?

Answer 11

(5p+100)/3 = Q^2

Answer 12

So square root of (5p+100)/3 = Q

Answer 13

Good use of parentheses!
How many answers would you then have?

Answer 14

What do you mean?

Answer 15

If Q^2=32, then you have two possible answers, one positive and one negative:\[Q=+\sqrt{32}~U~Q=-\sqrt{32}\] or just "plus or minus Sqrt(32)."

Answer 16

Two answers, correct?

Answer 17

I don't understand how you got that

Answer 18

@mathmale

Answer 19

But wouldn't my answer for this problem just be
B. Q = square root of 5 times p plus 100 over 3