Question

3x-24/X= X/3 what's the answer??????

Answer 1

Answer:

x= 3

x= -3

Step-by-step explanation:

Answer 2

The solutions to the given equation are x=-3 and x=3.

Explanation:

The given equation  : $3x-\dfrac{24}{x}=\dfrac{x}{3}$

Multiply 3x on both the sides , we get

$3x(3x-\dfrac{24}{x})=3x(\dfrac{x}{3})$

$3x(3x)-3x(\dfrac{24}{x})=x\times x$  [By distributive property]

$9x^-72=x^2\\\\ 9x^2-x^2=72$

$8x^2=72$

$x^2=9$  [Divide both sides by 8]

It is a quadratic equation , so it will have two solutions

Since $-3^2=9 \ \&\ \ 3^2=9$

So x = -3 and x= 3.

Hence, the solutions to the given equation are x=-3 and x=3.

# Learn more :

what is the answer to this question

2(x-8)-3(x+2)=-24

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