Question

I want to know the 4th one

Answer 1

Step-by-step explanation:

4. alpha = 2/3

beta = -1/4

K[x²-(sum of zeroes )x +(product of the zeroes)]

K[x²-(2/3-1/4)x+(2/3)(-1/4)]

K[x²-(8-3/12)x+(-1/6)]

K[x²-5/12x-1/6]

K[12x²-5x-2/12]

for k = 12

12[12x²-5x-2/12]

12x²-5x-2 is the quadratic equation

verification of the relationship between zeroes and coefficients

1.sum of zeroes= 2/3+(-1/4)

-b/a = 2/3-1/4

-(-5)/12 = 8-3/12

5/12 = 5/12

2. product of the zeroes = 2/3(-1/4)

c/a = -1/6

-2/12 = -1/6

-1/6= -1/6