An algebra problem by Atul Shivam

Algebra Level pending

The equations x 3 + 7 x 2 + p x + r = 0 x^3 +7x^2 + px + r=0 and x 3 + 5 x 2 + p x + q = 0 x^3 +5x^2 + px + q =0 have two roots in common. If the third root of each equation is represented by a and b than find the value of a×b


The answer is 35.

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