Question

If α and β are the zeros of 2x² + 5x + 2. Evaluate α² + β².

Answer 1

Answer:

Step-by-step explanation:

(Alfa^2 + beta^2) = (alfa + beta)^2 - 2alfa beta

p(x) = 2x^2 + 5x + 2

sum of zeroes = alfa + beta = -b/a = -5/2

product of zeroes = alfa × beta = c/a

= 2/2 =1

Hence alfa^2 + beta^2

=(-5/2)^2 - 2 × 1

=25/4 -2

=17/4

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