Question

If alpha beta be the zeroes of the quadratic polynomial 2x2+5x+1 then find the value of alpha+beta+alphabeta

Answer 1

Answer:

-1/2

Step-by-step explanation:

In a quadratic equation ax2 + bx + c = 0,

alpha + beta = -b/a

alpha × beta = c/a

In equation, 2x2+5x+1 = 0

a = 2, b = 5, c = 1

alpha + beta = -b/a = -5/2

alpha × beta = c/a = 1/2

alpha+beta+alphabeta

= -5/2 + 1/2

= -4/2

= -1/2