Question

If alpha and beta are the zeroes of the quadratic polynomial f(x) = 3x2 - 5x - 2 then find alpha2 + beta2

Answer 1

Answer:

37/9

Explaination

given-

equation: 3x2 - 5x - 2

two zeroes alpha and beta

now

3x2 - 5x - 2

by splitting the middle term

=3x2 - 6x + x - 2

=3x(x - 2) + 1(x - 2)

=(x - 2)(3x + 1)

therefore two zeros will come

first is x = 2

and second is x= -1/3

let alpha is equal to 2

and beta is equal to minus 1 by 3

therefore

alpha 2+beta 2

=2^2+ -1/3^2

=4 + 1/9

=37/9

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Answer 2

Answer:

this is the answer for your question