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Question Number 137590 by Ñï= last updated on 04/Apr/21

x=1+((π+(π+1)^2 +(π+2)^3 +(π+3)^4 )/(4+5^2 +6^3 +7^4 ))  (√(x+2(√(x−1))))+(√(x−2(√(x−1))))=?

x=1+π+(π+1)2+(π+2)3+(π+3)44+52+63+74x+2x1+x2x1=?

Commented by mindispower last updated on 04/Apr/21

(√(x+2(√(x−1))))=(√(((√(x−1))+1)^2 ))=1+(√(x−1))  (√(x−2(√(x−1))))=(√(((√(x−1))−1)^2 ))1−(√(x−1))  1<x<2  we  get 2

x+2x1=(x1+1)2=1+x1x2x1=(x11)21x11<x<2weget2

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