Question

Find x in , 8: x ::x :18​

Answer 1

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Answer 2

SOLUTION

GIVEN

8 : x :: x : 18

TO DETERMINE

The value of x

EVALUATION

Here it is given that 8 : x :: x : 18

Thus we get

$\displaystyle\sf{ \frac{8}{x} = \frac{x}{18} }$

$\displaystyle\sf{ \implies \: {x}^{2} = 8 \times 18}$

$\displaystyle\sf{ \implies \: {x}^{2} = 144}$

$\displaystyle\sf{ \implies \: x = \pm \: 12}$

FINAL ANSWER

Hence the required values are x = - 12 , 12

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