Question

x+1=3 , 可 4x +1 亚 ? 2X 售 good

JEE/Engineering Exams

Maths

Solution

4.0 (1 ratings)

( x+frac{1}{2 x}=3 ) ( Rightarrow 2left(x+frac{1}{2 x}right)=2 times 3 ) ( Rightarrowleft(2 x+frac{1}{x}right)=6 ) ( Rightarrowleft(2 x+frac{1}{x}right)^{2}=(6)^{2}=36 ) ( Rightarrow 4 x^{2}+frac{1}{x^{2}}+4=36 ) ( Rightarrow 4 x^{2}+frac{1}{x^{2}}=32 ) ( therefore 4 x^{2}+frac{1}{x^{2}}=32 )