Question

2(x^2+1/x^2)_(X +1/X)_11=0 X=\ 0



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Answer 1

Answer:

x= -1/2 or -2

Step-by-step explanation:

2(x²+1/x²)-(x+1/x)-11=0

2{(x+1/x)²-2}–(x+1/x)-11=0

2(x+1/x)²–(x+1/x)–15=0

2a²-a-15=0 [Let, (x+1/x)=a]

2a²-6a+5a-15=0

2a(a-3)+5(a-3)=0

(a-3)(2a+5)=0

♥ 2a+5=0

2(x+1/x)+5=0. [put a=x+1/x]

2x²+5x+2=0

2x²+4x+x+2=0

(2x+1)(x+2)=0

x= -1/2 or -2

#hope it's help you.

#bal