Last question for Sunday night. Solve for x. [ATTACH=full]3808[/ATTACH]
(x-1/x)^(1/2)+(x-1/x)^(1/2)=x ............square both sides x-1/x=x^2/4............both sides multiply by 4x 4x^2-4=x^3 x^3-4x^2+4=0 Solutions: x≈-0.90321 x≈1.1939 x≈3.7093 verify solutions: x≈-0.90321 2*(-0.90321-1/-0.90321)^(1/2)=-0.90321 2*(-0.90321+1/0.90321)^(1/2)=-0.90321 2*0.4516 =-0.90321 => false , so disregard x≈-0.90321 x≈1.1939 2sqrt(1.1939-1/1.1939)=1.1939 2*0.59695=1.1939 1.1939=1.1939->true x≈3.7093 2sqrt(3.7093-1/3.7093)=3.7093 2(1.8546448054782267)=3.7093 3.7092896109564534=3.7093 3.7093=3.7093 ->true solutions are: x≈1.1939, x≈3.7093
I found this problem on YouTube. The person explaining this problem is a horrible tutor. I didn't understand one single word.