Question

if alpha and beta are the zeros of the polynomial 3x^2 +11x -4 then the value of alpha^2+beta^2 is ​

Answer 1

Answer:

145/9

Step-by-step explanation:

Given equation,

                            3x² + 11x  -4

Roots of equation are α and β

equation can be written as

  3x² + 12x - 1x -4

  3x(x + 4) - 1(x + 4)

  (x + 4) (3x - 1)

  x = -4 and 1/3

α and β are  -4 and 1/3

α² = (-4)² = 16

β² = (1/3)² = 1/9

now

       α² + β² = 16 + 1/9

                   = 145/9