Question

If α and β are the zeroes of the polynomial x² + 5x - 14, find the value of α² + β²

Answer 1

Answer:

53

Step-by-step explanation:

$x^{2}$+5x-14

a=1   b=5 c=-14

α+β= -b/a

     = -5

αβ=  c/a

    = -14

(α+β)^2 = α^2+β^2+ 2αβ

$(-5)^{2}$=α^2+β^2-28

25+28=α^2+β^2

53= α^2+β^2

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Answer 2

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