FACTORISE................
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Answer:
let, x+1/x= t
then squaring on both sides
(x+1/x)^2 =t^2
x^2 + 1/x^2 +2 = t^2
x^2+1/x^2= t^2-2
Step-by-step explanation:
(t^2-2) -4(t) + 6 =0
t^2 - 4t + 4=0
t^2 - 2t - 2t +4=0
t(t -2) -2(t-2)=0
(t-2)(t-2)=0
t=2,2
we know that,
t= x+1/x
2=x+1/x
2=x^2+1÷x
2x= x^2+1
x^2-2x+1=0
(x-2)^2=0
(x-2)=0
x= 2
panda806927:
what is this
Answered by
0
Answer:
(t^2-2) -4(t) + 6 =0
t^2 - 4t + 4=0
t^2 - 2t - 2t +4=0
t(t -2) -2(t-2)=0
(t-2)(t-2)=0
t=2,2
we know that,
t= x+1/x
2=x+1/x
2=x^2+1÷x
2x= x^2+1
x^2-2x+1=0
(x-2)^2=0
(x-2)=0
x= 2
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