SOLUTION: x/4+4/x=17/4

Question 246680: x/4+4/x=17/4

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x/4+4/x=17/4
(x*x+4*4)/4x=17/4
(x^2+16)/4x=17/4 cross multiply.
4x*17=4(x^2+16)
68x=4x^2+64
4x^2-68x+64=0
4(x^2-17x+16)=0
4(x-16)(x-1)=0
x-16=0
x=16 ans.
x-1=0
x=1 ans.
proof:
16/4+4/16=17/4
4+1/4=17/4
(16+1)/4=17/4
17/4=17/4
1/4+4/1=17/4
(1*1+4*4)/4=17/4
(1+16)/4=17/4
17/4=17/4

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