SOLUTION: Solve for: {{{sqrt(x^2-4^2)+sqrt(x^2-6^2)=9}}}

Algebra ->  Equations -> SOLUTION: Solve for: {{{sqrt(x^2-4^2)+sqrt(x^2-6^2)=9}}}      Log On


   

Question 772448: Solve for: sqrt%28x%5E2-4%5E2%29%2Bsqrt%28x%5E2-6%5E2%29=9
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%5E2-4%5E2%29%2Bsqrt%28x%5E2-6%5E2%29=9

sqrt%28x%5E2-16%29%2Bsqrt%28x%5E2-36%29=9

sqrt%28x%5E2-36%29=9-sqrt%28x%5E2-16%29

%28sqrt%28x%5E2-36%29%29%5E2=%289-sqrt%28x%5E2-16%29%29%5E2

x%5E2-36=81-18sqrt%28x%5E2-16%29%2Bx%5E2-16

-101=-18sqrt%28x%5E2-16%29

101%2F18=sqrt%28x%5E2-16%29

%28101%2F18%29%5E2=%28sqrt%28x%5E2-16%29%29%5E2

10201%2F324=x%5E2-16

10201%2F324%2B16=x%5E2

10201%2F324%2B16=x%5E2

10201%2F324%2B5184%2F324=x%5E2

15385%2F324=x%5E2

%22%22+%2B-+sqrt%2815385%2F324%29 = x

%22%22+%2B-+sqrt%2815385%29%2F18 = x

Answers check with calculator using x = ±6.8909047229833738

Edwin