The value of x is 5.03. You get this when you evaluating equation by multiplying both side with x^2 to get 715.785x^2-18140.1=0. Next, take 18140.1 to the other side to get 715.785x^2= 18140. You can now divide 715.785 with both side to get x^2= 18140/715.785, which means x^2 is equals to 25.34. The last thing is to find the square root of the both side to get 5.03.
715.785-(18140.1/x^2) = 0 x^2[715.785-(18140.1/x^2]=0. Multiply through by x^2 715.785x^2 - 18140.1 = 0 Now you have the difference of 2 squares [sqrt715.785x-sqrt18140.1] [sqrt715.785x+sqrt18140.1]=0 (26.75x+134.69)(26.75x-134.69) =. Set left side equal to 0 26.75x+134.69=0. Subtract 134.69 from both sides 26.75x=-134.69. Divide each side by 26.75 x=-5.03. Now set right side = 0 and solve similarly or x=5.03