JEE maths#16

Geometry Level 4

If cos4(θ)+α\cos^{4} ( \theta) + \alpha and sin4(θ)+α\sin^{4} ( \theta ) +\alpha are the roots of the equation x2+b(2x+1)=0 x^{2} + b(2x+1) = 0, and cos2(θ)+β \cos^{2} ( \theta ) + \beta and sin2(θ)+β\sin^{2} ( \theta ) + \beta are the roots of the equation x2+4x+2=0 x^{2} + 4x + 2 = 0 , then find the value of positive integer bb .

Note :- θ \theta can be a non- real number as well


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