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Answer:
The value of x²+1/x²=47
Step-by-step explanation:
Given that:-
x+1/x=7
Squaring on both sides , then
(x+1/x)²=7²
LHS is in the form of (a+b)²
Here , a=x and b=1/x
(a+b)²=a²+2ab+b²
=>(x+1/x)²=49
=>x²+2(x)(1/x)+(1/x)²=49
=>x²+2+1/x²=49
=>x²+1/x²=49-2
=>x²+1/x²=47
The value of x²+1/x²=47
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