If x ^2-2 x-4 7 = 0; Find (x -8 )^2+1/(x-8)^2

SSC CGL Model Paper 17

Question : 68 of 99

Marks: +1, -0

x ^2-2 x-4 7 = 0

; Find

(x -8 )^2+1/(x-8)^2

Solution:

x^2-8x+6x-48+1=0

x(x-8)+6(x-8)+1=0

(x-8)(x+6)+1=0

(x+6)+1/{x-8}=0

(x-8)+1/{x-8}=-14

(x-8)^2+1/(x-8)^2=194

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