if x is equal to 2 + under root 3 find the value of x square + 1 upon x square
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Hey dear !!
Here it ur ans ♀♀♀
X=2+√3
We can write it as ...
x^2=(2+√3)
4+3+4√3
7+4√3
Now, 1/x = 1/2+√3
=) 1/2+√3 × 2-√3/2-√3
=) 2-√3/4-3
=) 2-√3
Now,
=). (1/x)^2 = (2-√3)^2.
=) 4+3-4√3
=) 7-4√3
Therefore,
=) x^2+(1/x)^2= 7+4√3 + 7-4√3 = 14 Ans.
Hope it may helps u ✌✌
Dhanyawad ʕ•̀ω•́ʔ✧
Arya( ･ิω･ิ)
Here it ur ans ♀♀♀
X=2+√3
We can write it as ...
x^2=(2+√3)
4+3+4√3
7+4√3
Now, 1/x = 1/2+√3
=) 1/2+√3 × 2-√3/2-√3
=) 2-√3/4-3
=) 2-√3
Now,
=). (1/x)^2 = (2-√3)^2.
=) 4+3-4√3
=) 7-4√3
Therefore,
=) x^2+(1/x)^2= 7+4√3 + 7-4√3 = 14 Ans.
Hope it may helps u ✌✌
Dhanyawad ʕ•̀ω•́ʔ✧
Arya( ･ิω･ิ)
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