Maths · Quadratic equations in real and complex number systems and their solutions
If then the value of
If \( 3 x-\frac{1}{2 x}=6, \) then the value of \( 9 x^{2}+ \) \( \frac{1}{4 x^{2}} \)
- A. 36
- B. 33
- C. 30
- D. 39
Step-by-step solution
Square the given equation: (3x - 1/(2x))^2 = 6^2 => 9x^2 + 1/(4x^2) - 2*(3x)*(1/(2x)) = 36 => 9x^2 + 1/(4x^2) - 3 = 36 => 9x^2 + 1/(4x^2) = 39.
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