" 5) "2x^(2)-x+9=x^(2)+4x+3,x=2quad ,x=3

In each of the following,determine whether the given values are solutions of the given equation or not: 2x^(2)-x+9=x^(2)+4x+3,x=2,x=3 (ii) -sqrt(2)x-4=0,x=-sqrt(2),x=-2sqrt(2) (iii) a^(2)x^(2)-3abx+2b^(2)=0,x=a/b,x=b/a

In each of the following, determine whether the given values are solutions of the given equation or not: (i) 2x^2-x+9=x^2+4x+3,\ \ x=2,\ \ x=3 (ii) x^2-sqrt(2)x-4=0,\ \ x=-sqrt(2),\ \ x=-2sqrt(2) (iii) a^2x^2-3a b x+2b^2=0,\ \ x=a//b ,\ \ x=b//a

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

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 HCF of the polynomials f(x)= 6(x^(3) +3x^(2)) (x^(2)-16) (x^(2) + 9x + 18) and g(x) = 8(x^(4) + 4x^(3)) (x^(2) + 6x + 9)^(2)

Evaluate: (i) x^(2)+4x+7 when x=2+sqrt(-3) (ii) 2x^(3)-9x^(2)-10x+13 when x=3+sqrt(-5)

lim_(x rarr oo) (3x^(3) + 2x^(2) - 7x + 9)/(4x^(3) + 9x -2)