Web1 jun. 2024 · Algebra: If X - 1/X =3 then X^7 - 1/X^7 = ? Our Math Channel 20K subscribers Join Subscribe 673 Share Save 64K views 3 years ago Algebra Algebra: If X - 1/X =3 then... Web19 okt. 2024 · x7 + 1 x7 = 843 Explanation: Here's one method... Given: x + 1 x = 3 Then: x2 + 1 x2 = (x + 1 x)(x + 1 x) − 2 = 3 ⋅ 3 − 2 = 7 Then: x4 + 1 x4 = (x2 + 1 x2)(x2 + 1 x2) …
Prove if x + (1/x) = 1 then x^7 + (1/x^7) = 1. Physics Forums
Web16 sep. 2024 · x - 1/x = 7 by squaring both side , we get (x - 1/ x)^2 = (7)^2 x^2 + 1/x^2 - 2 (x) (1/x) = 49 x^2 + 1/x^2 - 2 = 49 x^2 + 1/x^2 = 49 + 2 x^2 + 1/x^2 = 51 again ,by squaring both side , we get (x^2 + 1/x^2)^2 = (51)^2 x^4 + 1/x^4 + 2 (x^2) (1/x^2) = 2601 x^4 + 1/x^4 + 2= 2601 x^4 + 1/x^4 = 2601 - 2 x^4 + 1/x^4 = 2599 ____________________________ WebAnswer (1 of 7): x^2+1/x^2 = 7, or x^4–7x^2+1 = 0 …(1) Let x^2 = y, so (1) becomes y^2–7y+1 = 0 y1 = [7+(49-4)^0.5]/2 = [7+45^0.5]/2 = 6.854101966 and x1 = 2.618033989 and x2 = -2.618033989 x1^3+1/x1^3 = 2.618033989^3+ 1/2.618033989^3 = 17.94427101 +1/17.94427101 = 18 x2^3+1/x2^3 = -2.6180... current weather in belfield nd
If x+1/x = 3 then what is x^7+1/x^7 ? Socratic
Web19 okt. 2024 · x7 + 1 x7 = 843 Explanation: Here's one method... Given: x + 1 x = 3 Then: x2 + 1 x2 = (x + 1 x)(x + 1 x) − 2 = 3 ⋅ 3 − 2 = 7 Then: x4 + 1 x4 = (x2 + 1 x2)(x2 + 1 x2) −2 = 7 ⋅ 7 −2 = 47 Also: x3 + 1 x3 = (x + 1 x)(x2 − 1 + 1 x2) = 3(7 −1) = 18 So: x7 + 1 x7 = (x4 + 1 x4)(x3 + 1 x3) −(x + 1 x) = 47⋅ 18− 3 = 843 Answer link WebIf x+1 / x=7 then find the value of x3+1 / x3 Byju's Answer Standard VIII Mathematics Polynomials If x+1 / x=7 ... Question If x+ 1 x = 7 then find the value of x3+ 1 x3 … Web22 apr. 2024 · If x+1/x=7 find x-1/x Get the answers you need, now! VijHardik VijHardik 22.04.2024 Math Secondary School ... x+1/x=7. then squaring both sides (x+1/x)^2 =7^2. x^2+1/x^2+2x*1/x. x^2+1/x^2+2=49. x^2+1/x^2=49-2. x^+1/x^2=47. if we have to find the value of x-1/x then charter cable covington ga