SOLUTION: Solve the formula for the indicated letter.
S = (1/3nr^2h + 4nrh), for r
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Question 173622This question is from textbook Introductory Algebra
: Solve the formula for the indicated letter.
S = (1/3nr^2h + 4nrh), for r
This question is from textbook Introductory Algebra
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the formula for the indicated letter.
S = (1/3nr^2h + 4nrh), for r
:
nr^2h + 4nrh = S
Multiply equation by 3 to get rid of the denominator
nr^2h + 3(4nrh) = 3S
:
nr^2h + 12nrh = 3S
:
Factor out nh:
nh(r^2 + 12r) = 3S
:
r^2 + 12r =
:
r^2 + 12r - = 0
A quadratic equation where: a=1; b=12; c=-
Use the quadratic formula (we only want the positive solution here:
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