What should come in place of both x in the equation \(\frac{x}{128} = \frac{162}{x}.\) Options: A . &nbsp12 B . &nbsp14 C . &nbsp144 D . &nbsp196

Answer: Option A \(Let\frac{x}{128} = \frac{162}{x}\) Then x 2 = 128 x 162 = 64 x 2 x 18 x 9 = 8 2 x 6 2 x 3 2 = 8 x 6 x 3 = 144. Therefore x = 144 = 12.

What should come in place of both x in the equation \(\frac{x}{12

Question

What should come in place of both x in the equation \(\frac{x}{128} = \frac{162}{x}.\)

Options:

A . 12

B . 14

C . 144

D . 196

Answer: Option A

\(Let\frac{x}{128} = \frac{162}{x}\)

Then x² = 128 x 162

= 64 x 2 x 18 x 9

= 8² x 6² x 3²

= 8 x 6 x 3

= 144.

Therefore x = 144 = 12.

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