Question

Write the quadratic equation for which alpha+beta=-4 and alpha× beta=-3


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Answer 1

Answer:

Alpha + Beta = -4

Alpha × Beta = -3

(Alpha + Beta)^2 = (Alpha)^2 + (Beta)^2 + 2(Alpha × Beta)

(-4)^2 = (Alpha)^2 + (Beta)^2 + 2(-3)

16 = (Alpha)^2 + (Beta)^2 - 6

(Alpha)^2 + (Beta)^2 = 16 + 6

(Alpha)^2 + (Beta)^2 = 22