Question

x÷3 +9÷x = 4 please answer this question​

Answer 1

Step-by-step explanation:

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Answer 2

Required Answer:-

Given:

• $\rm \dfrac{x}{3} + \dfrac{9}{x} = 4$

To find:

• The value of x.

Solution:

We have,

$\rm \implies \dfrac{x}{3} + \dfrac{9}{x} = 4$

LCM of 3 and x is 3x. So,

$\rm \implies \dfrac{ {x}^{2} + 27 }{3x}= 4$

$\rm \implies {x}^{2} + 27= 12x$

$\rm \implies {x}^{2} - 12x + 27 = 0$

$\rm \implies {x}^{2} -3x - 9x + 27 = 0$

$\rm \implies x(x - 3) - 9(x - 3) = 0$

$\rm \implies (x - 9)(x - 3) = 0$

Therefore, either x - 9 = 0 or x - 3 = 0

➡ x = 9, 3

Hence, the values of x are 9 and 3.

Answer:

• The possible values of x are 9 and 3.