`(2x+1)/x+(4x)/(2x+1)=5`

The complete range of y=(4x^(2)-3x+1)/(4x^(2)+5x+1) is (x in R)

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)

lim_ (x rarr oo) ((2x + 1) ^ (40) (4x-1) ^ (5)) / ((2x + 3) ^ (45)) =

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)

The equation is true for (12x+1)/(4)=(15x-1)/(5)+(2x-5)/(3x-1)

Check whether the following are quadratic equation (i) (x+1)^2=2(x-3) (ii) x^2-2x=(-2)(3-x) (iii) (x-2)(x+1)=(x-1)(x+3) (iv) (x-3)(2x+1)=x(x+5) (v) (2x-1)(x-3)=(x+5)(x-1) (vi) x^2+3x+1=(x-2)^2 (vii) (x+2)^3=2x(x^2-1) (viii) x^3-4x^2 – x + 1 = (x – 2)^3

Check whether the following are quadratic equation (i) (x+1)^2=2(x-3) (ii) x^2-2x=(-2)(3-x) (iii) (x-2)(x+1)=(x-1)(x+3) (iv) (x-3)(2x+1)=x(x+5) (v) (2x-1)(x-3)=(x+5)(x-1) (vi) x^2+3x+1=(x-2)^2 (vii) (x+2)^3=2x(x^2-1) (viii) x^3-– 4x^2 – x + 1 = (x – 2)^3

Let us simplify using formula:- (x+1) (x^2 - x + 1) + (2x - 1) (4x^2 + 2x + 1) - (x-1)(x^2 + x + 1)