Make R the subject

Question

3 years ago

12

{P=10(Q-3R)}{R}" alt=" \frac{P=10(Q-3R)}{R}" align="absmiddle" class="latex-formula">

1 answer:

Naddik [55] · Answer 1 · 2022-05-06T05:07:23+03:00

I must assume that you meant the following:

10(Q-3R)

P = ----------------

R

Multiplying both sides by R, we get PR = 10R(Q-3R), or PR = 10RQ - 30R^2.

Rearranging these terms so that powers of R are in descending order:

30R^2 - 10RQ + PR = 0

Factoring out R, we get

R(30R - 10Q + P) = 0. This has two solutions:

R = 0, and 10Q - P

30R = 10Q - P, so that R = --------------

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