Question

Salue for X
4√3 x ² + 5x - 2√3=0​

Answer 1

Answer:

x = -2/√3 or √3/4

Step-by-step explanation:

Given,

4√3 x² +5x -2√3 =0

We know that,

4√3 x² × 2√3 = 24

Then, by using splitting the middle term method, we get,

⇒4√3 x² +8x -3x -2√3=0

⇒4x(√3 x+2) -√3(√3x +2) =0

⇒(√3x +2)(4x -√3) =0

Hence,

⇒(√3x +2) = 0 or (4x-√3) =0

For the values of x,

Case I :

(√3x + 2) = 0

=> √3x = -2

=> x = -2/√3

Case II :

(4x - √3) = 0

=> 4x = √3

=> x = √3/4

Hence,

⇒x = -2/√3 or √3/4

Answer 2

Answer:

Step-by-step explanation:

here a=4root3

b=5 c=2 root3

now

d=b^2-4ac

5^2-4.(-2root3)(4root3)

you will get d=121

which is 0is less than 121

now by quad formula

x=-b+-rootrd /2a

   -5+-root121/2.4root3

x=-5+11/8root3     ,         -5-11/8root3

x=    6/8root3=3/4root3        ,          -16/8root3=-2/root3

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