Question

if alpha and beta are the zeros of the given polynomial p(x) = 4x^2 - x - 4.find 1/2alpha + 1/2beta


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Answer 1

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Answer 2

Answer:

Given:

a & B are the zeroes of 4x2 - X - 4.

On comparing with the standard form of a quadratic equation i.e., ax2 + bx + c = 0,

let,

• a = 4

. b=-1

C = - 4

We know that,

Sum of the zeroes = -b/a

a + B = (- 1)/ 4

→ a +B = 1/4 =

Multiply 1/2 both sides.

- a + B = 1/4

Multiply 1/2 both sides.

1/2 (a + B) = (1/2)(1/4)

- 1/2(a) + 1/2(B) = 1/8

. The value of 1/2(a) + 1/2(B) is 1/8.