" (vil) "5x^(2)-(17)/(2)x+(3)/(2)=0

int((5x^(2)-18x+17))/((x-1)^(2)(2x-3))dx

(i) 2x^(2)-17x+21 =0 (ii) 5y^(2)-32 + 35 = 0

3x-(5x^(2))/(2)+(9x^(3))/(3)-(17x^(4))/(4)+....+(-1)^(n-1)((2^(n)+1))/(2)x^(n)+...=

int (6x^(2) - 17 x - 5)/((x - 3)(x - 2)^(2)) dx =

x+7-(8x)/(3)=(17)/(6)-(5x)/(2)

X+7-(8X)/(3)=(17)/(6)-(5X)/(2)

lim_(x rarr0)((5x^(2)+1)/(3x^(2)+1))^(1/x^(2))

Find the roots of the following quadratic equations i) 6sqrt5 x^(2) – 9x -3sqrt5 = 0 ii) x^(2) - x - 12 = 0 iii) 2x^(2) - 6x + 7 = 0 iv) 4x^(2) - 4x+17 = 3x^(2) -10x-17 v) x^(2) + 6x + 34 = 0 vi) 3x^(2) + 2x - 5 = 0

Solve the following quadratic equation by the method of factorisation:(xi) 5x^2-17/2x+3/2