Question

find the zeroes of the following quadratic Polynomial and verify the relationship between the
zeroes and to cofficient
a)6x² - 13 x +6​

Answer 1

Step-by-step explanation:

6x² - 13x + 6 = 0

6x² - 9x - 4x + 6 = 0

3x(2x-3) -2(2x-3) = 0

(3x-2)(2x-3) = 0

x = 2/3 , 3/2

Verify: alpha + beta = 13/6

2/3 + 3/2 = 13/6

(4+9)/6 = 13/6

13/6 = 13/6

verify : alpha * beta = c/a

2/3 × 3/2 = 6/6

1 = 1