Question

If alpha and beta are the zeroes of the quadratic polynomial 2x^2 - 5x + 3, then find the value of 1/2 alpha + 1/2 beta

Answer 1

Given:

α and β are the zeroes of the polynomial 2x² - 5x + 3.

• a = 2

• b = - 5

• c = 3

To find out:

Find the value of 1/2α + 1/2β ?

Solution:

★Sum of zeroes :

α + β = -b/a

⇒ - ( - 5 ) / 2

⇒ 5/2

Now,

1/2 α + 1/2 β

⇒ 1/2 ( α + β )

⇒ 1/2 ( 5/2 )

⇒ 1/2 × 5/2

⇒ 5/4

Answer 2

so this is the answer to the ques