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Question Number 204480 by EJJDJX last updated on 18/Feb/24

x + (1/x) = 2.05 x = ?

x+1x=2.05x=?

Commented by TonyCWX08 last updated on 19/Feb/24

x^2 +1= 2.05x x^2 −2.05x= = −1 x^2 −2.05x+(((2.05)/2))^2 = −1+(((2.05)/2))^2 (x−((2.05)/2))^2 = 0.050625 x−1.025 = ±(√(0.050625)) x = 1.025±0.225 x_1 =1.25 x_2 =0.8

x2+1=2.05xx2−2.05x==−1x2−2.05x+(2.052)2=−1+(2.052)2(x−2.052)2=0.050625x−1.025=±0.050625x=1.025±0.225x1=1.25x2=0.8

Answered by MM42 last updated on 18/Feb/24

((x^2 +1)/x)=((41)/(20))⇒20x^2 −41x+20=0 x=1.25 & x=0.8

x2+1x=4120⇒20x2−41x+20=0x=1.25&x=0.8

Answered by BaliramKumar last updated on 19/Feb/24

x + (1/x) = 2.05 ............... (i) x − (1/x) = ±(√(2.05^2 − 4)) = ±(√(4.2025−4)) x − (1/x) = ±(√(0.2025)) = ± 0.45 x − (1/x) = 0.45 ...............(ii) x − (1/x) = −0.45 .......................(iii) (i)+(ii) 2x = 2.5 ⇒ x = 1.25 (i)+(iii) 2x = 1.6 ⇒ x = 0.8

x+1x=2.05...............(i)x−1x=±2.052−4=±4.2025−4x−1x=±0.2025=±0.45x−1x=0.45...............(ii)x−1x=−0.45.......................(iii)(i)+(ii)2x=2.5⇒x=1.25(i)+(iii)2x=1.6⇒x=0.8

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