MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Identity (x+y)(x-y)

If x=2+√3 the...

Question

If x=2+√3 then find x²+1÷x²

Open in App

Solution

If x= 2+sqrt3
then
1/x=2-sqrt3 (by rationaliztion)
then (x+1/x)^2 = X^2+(1/X)^2 +2x(1/X)
that is (2+sqrt3 +2-sqrt3)^2=x^2 +(1/x)^2+2
4^2 -2=x^2+(1/x)^2
i.e, 14 is the answer

Suggest Corrections

thumbs-up

110

Similar questions

x = 2 + \sqrt{3}

x^{2} + \frac{1}{x^{2}} ?

x = 2 - \sqrt{3}

, then find the value of

x^{2} + \frac{1}{x^{2}}

.

X = \sqrt{3} - \sqrt{2}

X^{2} + 1 / X^{2}

x = 3 - 2 \sqrt{2}

, then find the value of

(x^{2} - \frac{1}{x^{2}})

x = 2 + \sqrt{3}

then find the value of

x^{2} + \frac{1}{x^{2}}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Algebraic Identities

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Identity (x+y)(x-y)

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon