(x+1/x) = 4 find , x^2+1/x^2
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Answered by
18
⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
❄ IN THESE TYPE OF NUMERICALS WE HAVE TO SQUARE THE BOTH SIDES, WHEN THE QUESTION WANTS THE VALUE OF x+1/x².
❄ Then proceed by using the formula (a+b)² = a²+2ab+b²
❄ Ultimately, we will get our final amswer.
==================================
Given, (x+1/x) = 4.
Squaring both sides, we get :
(x+1/x)² = 4²
=> (x)²+2×(x)×(1/x)+(1/x)² = 16
=> x²+1/x² = 16-2 or 14 [Ans.]
==================================
⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
❄ IN THESE TYPE OF NUMERICALS WE HAVE TO SQUARE THE BOTH SIDES, WHEN THE QUESTION WANTS THE VALUE OF x+1/x².
❄ Then proceed by using the formula (a+b)² = a²+2ab+b²
❄ Ultimately, we will get our final amswer.
==================================
Given, (x+1/x) = 4.
Squaring both sides, we get :
(x+1/x)² = 4²
=> (x)²+2×(x)×(1/x)+(1/x)² = 16
=> x²+1/x² = 16-2 or 14 [Ans.]
==================================
⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
Answered by
5
Given (x+1/x)=4
x^2+1/x^2
Applying the formula of a^2+b^2
(x+1/x)^2-2x×1/x
=4^2-2
=16-2
=14
Hope this helps please mark me as brainliest
Anonymous:
@rudra 09, CHATTING UNDER BRAINY COMMENTS SECTION IS STRICTLY PROHIBITED. ON DOING SO, IMMEDIATE STEPS WILL BE TAKEN FOR WARNINGS. SO, PLEASE DONT USE BRAINLY COMMENTS SECTION FOR CHATTING. INSTEAD, USE IT FOR ANY DOUBTS, IF YOU HAVE.
If you have any doubts u can surely ask.
Perfect
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