Find the zeros of the polynomial f(x) = 4 root 3x^2 +5x -2root3 and verify the relationship between zeroes and coefficients

Step-by-step explanation:

I will rewrite your "f(x) = 4 root 3x^2 +5x -2root3" as

                              f(x) = 4√3·x^2      +5x - 2√3

and then identify the coefficients of this quadratic.  They are:

a = 4√3, b = 5, c = -2√3.

Next we'll find the "discriminant," b²-4ac:

(5)² - 4(4√3)(-2√3)  =  25 + 32(3)  =    25 + 96   =   121

The roots are:

       -b ± √(discriminant)        -5 ± √121      -5 ± 11

x = = =

                  2a                           2(4√3)            8√3

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: