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[y+x=-5+2sqrt(-4)],[quad y'+3x^(3)+35x^(...

[y+x=-5+2sqrt(-4)],[quad y'+3x^(3)+35x^(2)-2+4]

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If x=-5+2sqrt(-4), find the value of x^(4)+9x^(3)+35x^(2)-x+4

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) - 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Find the value of x ^(4) + 9 x ^(3) + 35 x ^(2) - x + 4, if x =- 5 + sqrt ( -4).

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If x = -5 + 2sqrt(-4) , find the value of x^4 + 9x^3 + 35x^2 - x + 64 .

HCF and LCM of two polynomials are (x+y) and 3x^(5) + 5x^(4)y + 2x^(3)y^(2) - 3x^(2)y^(3) - 5xy^(4) - 2y^(5) , respectively. If one of the polynomials is (x^(2) - y^(2)) . Then, the other polynomial is

Find each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(2))