Question

Suppose a,b,c are rational numbers and all roots of x4 − ax2 + bx + c = 0 are rational and distinct. Let p, q, r, s be these roots. Prove that the number 4(a + pq) − 3(p + q)2 is the square of a rational number.

Answer 1

Answer:

binod

Step-by-step explanation:

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