If x²- 4x = 1 , find x²+1÷x²
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I don't think that it can be simplified any further!
I don't think that it can be simplified any further!
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if x²-4x =1
so, x²=1+4x
so the value of x²+1÷x² is
(1+4x)+1÷(1+4x)=(1+4x)+ 1/(1+4x)
1+4x+ 1/(1+4x) =( 1+4x)(1+4x)+1/(1+4x)
(1²+4x +4x +16x²+1)/1+4x
2+8x+16x²/1+4x
x²=1+4x
x=1+4
x=5
hence substitute the value and get the answer..
thanyou
so, x²=1+4x
so the value of x²+1÷x² is
(1+4x)+1÷(1+4x)=(1+4x)+ 1/(1+4x)
1+4x+ 1/(1+4x) =( 1+4x)(1+4x)+1/(1+4x)
(1²+4x +4x +16x²+1)/1+4x
2+8x+16x²/1+4x
x²=1+4x
x=1+4
x=5
hence substitute the value and get the answer..
thanyou
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