1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Rearranging an equation, It includes a square root.

  1. Jan 21, 2009 #1
    I want to find the value of r such that:

    sqrt[(r^2)+(110^2)] + r = 160

    Is there a way of doing it?

    I have found a solution through trial and error (1dp). But I want a method of finding an exact answer.

  2. jcsd
  3. Jan 21, 2009 #2
    I just found the solution:

    r = (675/16) using an online equation solver.

    But how do I get to that? Without trial and error?
  4. Jan 21, 2009 #3
    Doesn't matter anymore, I figured it out:

    sqrt(r²+110²) = 160 -r

    r² + 110² = (160 - r)²
    r² + 110² = 160² - 2*160*r +r²
    320r = 160²-110²
    r = 13500/320 = 42.1875
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Rearranging an equation, It includes a square root.
  1. Rearranging equation (Replies: 3)