Question

Solve for x:
3√3x-2 -4=0​

Answer 1

Answer:

lim

3x−2

−

x+2

x

2

−4

On rationalizing,

x→2

lim

3x−2

−

x+2

x

2

−4

×

3x−2

+

x+2

3x−2

+

x+2

x→2

lim

3x−2−x−2

(x−2)(x+2)[

3x−2

+

x+2

]

x→2

lim

2(x−2)

(x−2)(x+2)[

3x−2

+

x+2

]

=

2

(2+2)

(

4

+

4

)=

2

4

×4

=8.

Answer 2

Answer:

$\frac{2}{ \sqrt{3} }$

Explanation:

Given equation-

$3 \sqrt{3} - 2 - 4 = 0$

Now take constant terms to Right hand side

→

$3 \sqrt{3} x = 0 + 4 + 2$

( when we take no. to RHS the symbols changes)

So,

$3 \sqrt{3}x = 6$

Now , 3✓3 is in multiply with x so we'll take it to RHS.

$x = \frac{6}{3 \sqrt{3} }$

So, it will be the ans

$x = \frac{2}{ \sqrt{3} }$

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