Rearranging an equation, It includes a square root.

  • #1
179
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Main Question or Discussion Point

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.

Thanks
 

Answers and Replies

  • #2
179
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I just found the solution:

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

But how do I get to that? Without trial and error?
 
  • #3
179
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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
 

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