If $(x^2 +\frac{1}{49x^2}) = 15\frac{5}{7}$, then what is the value of $(x + \frac{1}{7x})$ ?
Answer & explanation
Correct answer: option 3
We know that,
If , x2 + \(\frac{1}{x^2}\) = b
and x + \(\frac{1}{x}\) = \(\sqrt {b + 2 \times x \times \frac{1}{x}}\)
$(x^2 +\frac{1}{49x^2}) = 15\frac{5}{7}$, = $\frac{110}{7}$
then what is the value of $(x + \frac{1}{7x})$ = \(\sqrt {\frac{110}{7} + \frac{2}{7}}\) = \(\sqrt {\frac{112}{7}}\)
$(x + \frac{1}{7x})$ = \(\sqrt {16}\) = ±4