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Find the value of m such that x^4– mx^2 + 6 is divisible by x^2 – 1. Answer: m =
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Given x,y such that x^2-y^2=2. The value of expression A=2(x^6-y^6)-6(x^4+y^4)
the value of x such that 7x^3 - |-35| = 13 . 182
Find the value of x such that A=\(\frac{5x^2-8x+8}{2x^2}\) reaches the minimun value.
Suppose that the polynomial f(x) = x5 - x4 - 4x3 + 2x2 + 4x + 1 has 5 solutions x1; x2; x3; x4; x5. The other polynomial k(x) = x2 - 4.
Find the value of P = k(x1) x k(x2) x k(x3) x k(x4) x k(x5)
Answer: P = .............
Given that
\(\frac{1}{x-1}-\frac{1}{x+1}-\frac{2}{x^2+1}-\frac{4}{x^4+1}-\frac{8}{x^8+1}-\frac{16}{x^{16}+1}=\frac{a}{x^{32}-1}\)
for all \(x\ne-1;1\).What is the value of a ?
For positive real numbers x,y,z so that: x+y+z = 3. Find the minimum value of expression
A = 1/( x^2 + x) + 1/(y^2+ y) +1/( z^2 +z)
Find the value of the remainder of the division
\(\left(7x-2x^3+4x^4-5\right):\left(x^2+2\right)\)with \(x=\frac{-1}{11}\)
Answer: The value of the remainder is ....
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