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weeeeeb [17]
2 years ago
7

R(r1+r2)=r1r2 solve for R

Mathematics
2 answers:
ss7ja [257]2 years ago
5 0

R = (r₁r₂) / (r₁ + r₂)

<h3>Further explanation</h3>

\boxed{ \ R(r_1 + r_2) = r_1r_2 \ }

In the equation there are three variables, namely R, r₁, and r₂.

Our main plan is to isolate the variable R alone at the end of the process on one side of the equation until the variable will be equal to the value on the opposite side.

Let us solve R from the equation.

Both sides are divided by \boxed{ \ r_1 + r_2 \ }

Thus, the result is \boxed{\boxed{ \ R = \frac{r_1r_2}{r_1 + r_2} \ }}

That's all the steps to get R as a subject.

- - - - - - -

What if we solve for r₂?

- - - - - - -

\boxed{ \ R(r_1 + r_2) = r_1r_2 \ }

Or, we prepare as follows: \boxed{ \ r_1r_2 = R(r_1 + r_2) \ }

We use the distributive property of multiplication on the right side.

\boxed{ \ r_1r_2 = Rr_1 + Rr_2 \ }

Both sides are subtracted by \boxed{ \ Rr_2 \ }

\boxed{ \ r_1r_2 - Rr_2 = Rr_1 \ }

Again we use the distributive property of multiplication on the left side.

Pull r₂ out of the brackets.

\boxed{ \ r_2(r_1 - R) = Rr_1 \ }

Both sides are divided by \boxed{ \ r_1 - R \ }

Thus, the result is \boxed{\boxed{ \ r_2 = \frac{Rr_1}{r_1 - R} \ }}

That's all the steps to get r₂ as a subject.

<h3>Learn more</h3>
  1. Solve step by step for ²/₇m - ¹/₇ = ³/₁₄ brainly.com/question/4853649
  2. The inverse of a function brainly.com/question/3225044
  3. Solving for a subject from the equation brainly.com/question/6465937

Keywords: solve for R, r₁, r₂, both sides, divide, multiply, subject, steps, he distributive property of multiplication

romanna [79]2 years ago
4 0
We need to solve for R, This is really simple.

The original expression is:
R (r1 + r2) = r1r2

To solve for a certain variable, we need to get this variable alone on one side of the equation and equate it with the other side.

In the given expression, to get R alone on one side we have to eliminate (r1 + r2).
In order to do this, we will divide both sides by (r1 + r2).
Doing this, we get the solution as follows:
R = (r1r2) / (r1 + r2)
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