x+1/x=17/4 then find the valuue
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X + 1 /X = 17/4
X + 1 /X = 17/4
X + 1 = 17/4 × X
X = 17/4X - 1
X = 17x - 4 /4
X = 17X - 4 /4
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Step-by-step explanation:
x+1/x=17/4
x^2+1/x=17/4
4(x^2+1)=x×17
4x^2+4=17x
4x^2-17x+4=0
4x^2-16x-x+4=0
4x(x-4)-1(x-4)=0
(4x-1)(x-4)=0
4x-1=0,x-4=0
4x=1,x=4
x=1/4,x=4
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