Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 39
If $$2x+\frac{1}{2x}=2$$, then what is the value of $$\sqrt{2(\frac{1}{x})^4+(\frac{1}{x})^5}$$ ?
Solution
Expression : $$2x+\frac{1}{2x}=2$$
=> $$\frac{4x^2+1}{2x}=2$$
=> $$4x^2+1=4x$$
=> $$4x^2-4x+1=0$$
=> $$(2x-1)^2=0$$
=> $$2x-1=0$$
=> $$x=\frac{1}{2}$$
=> $$\frac{1}{x}=2$$
To find : $$\sqrt{2(\frac{1}{x})^4+(\frac{1}{x})^5}$$
= $$\sqrt{2(2)^4+(2)^5}$$
= $$\sqrt{32+32}=\sqrt{64}=8$$
=> Ans - (D)
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
