Math, asked by panda806927, 1 year ago

FACTORISE................​

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Answered by aslam007
1

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
panda806927: u have to factorise it
aslam007: i have factorised it
panda806927: okay
Answered by plhamsini
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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