Question

3 x square minus 4 root 3 X + 4 is equal to zero

Answer 1

Step 1 :- Thanks

Step 2 :- Rate

Answer 2

Given,

The quadratic equation: 3x²-4√3x+4 = 0

To find,

The zeros of the equation.

Solution,

We can easily solve this problem by following the given steps.

According to the question,

We have the following quadratic equation:

3x²-4√3x+4 = 0

Now, we will use the quadratic formula:

x = (-b±√b²-4ac)/2a

In this case, we have a = 3, b = -4√3 and c = 4.

Now, find the determinant, D:

D = √b²-4ac

D = √(-4√3)²-4(3)(4)

D = √48-48

D = 0

x = (-b±0)/2a

x = -b/2a

x = -(-4√3)/2(3)

(Note that 3 can be written as the multiplication of √3 and √3.)

Now, divide 3 by √3:

x = 4/2√3

Now, divide 4 by 2:

x = 2/√3

Hence, the zeros of 3x²+4√3x+4 = 0 are 2√3 and 2√3.