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Let a, b and c be distinct nonzero complex numbers with |a| = |b| = |c|. Prove that if a root of the equation az²... fb.me/6IoyrJYQi

If the curve y = f(x) = ax^3 + bx^2 + cx + d (a is non-zero) possesses a point of inflection, find the condition on a,b, c and d.

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Let O, A, B and C be four points in a plane such that OA = OB = 15 units and OC = 7 units. Find the maximum area of triangle ABC.

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Let and b be the two roots of x^4 + x^3 - 1= 0. Prove that ab is a root of x^6 + x^4 + x^3 - x^2 - 1 = 0.

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Can you define mathematics in a single world ??