How to solve for r₂?

how to solve for r₂ in:

R(r₁ + r₂) = r₁r₂

4 Answers

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  • 2 years ago

    R(r₁ + r₂) = r₁r₂

    Rr₁ + Rr₂ = r₁r₂

    r₁r₂ - Rr₂ = Rr₁

    r₂(r₁ - R) = Rr₁

    r₂ = Rr₁ / (r₁ - R)

    NOTE: If r₁ = R, then r₁ = R = 0, and r₂ can be ANYTHING.

  • 2 years ago

    Rr1 + Rr2 = r1r2

    Rr1 = r1r2 - Rr2

    Rr1 = r2(r1 - R)

    r2 = Rr1 / (r1 - R)

  • 2 years ago

    R(r₁ + r₂) = r₁r₂

    Start by distributing the R:

    Rr₁ + Rr₂ = r₁r₂

    Now move all terms with r₂ to one side and all other terms to the other:

    Rr₁ = r₁r₂ - Rr₂

    Factor out the r₂:

    Rr₁ = r₂(r₁r₂ - R)

    And divide:

    r₂ = Rr₁ / (r₁r₂ - R)

  • R * (r[1] + r[2]) = r[1] * r[2]

    R * r[1] + R * r[2] = r[1] * r[2]

    R * r[1] = r[1] * r[2] - R * r[2]

    R * r[1] = r[2] * (r[1] - R)

    R * r[1] / (r[1] - R) = r[2]

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