जाँच कीजिये की निम्न द्वारा समीकरण है या नहीं:
(i) `(x-2)^(2)+1=2x+3`
(ii) `x(x+1)+8=(x+2)(x-2)`
`x(2x+3)=x^2+1`
(iv) `(x+2)_^3=x^3-4`.

Check whether the following are quadratic equations : (i) (x-2)^2+1=2x-3 (ii) x(x+1)+8=(x+2)(x-2) (iii) x(2x+3)=x^2+1 (iv) (x+2)^3=x^3-4

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

Check whether the following are quadratic equations: (i) quad (x-2)^(2)+1=2x-3 (ii) x(x+1)+8=(x+2)(x-2) (iii) quad x(2x+3)=x^(3)+1quad (x+2)^(3)=x^(3)-4

If 2x - (1)/(2x) =4 , find : (ii) 8x^(3) - (1)/( 8x^3)

factorise (i) 2x^(3)-3x^(2)-17x+30 (ii) x^(3) -6x^(2)+11x-6 (iii) x^(3)+x^(2)-4x-4 (iv) 3x^(2)-x^(2)-3x+1

(i) (x ^ (3) + 2x ^ (2) + 3x) -: 2x (ii) (10x-25) - :( 2x-5) (iii) (x (x + 1) (x + 2 ) (x + 3)) - :( x (x + 1))

Solve : (i) x(x+1)+(x+2)(x+3)=42 (ii) (1)/(x+1)-(2)/(x+2)=(3)/(x+3)-(4)/(x+4)

Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x^(2)+1)/(x^(2)+4x-5)lt0

Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x^(2)+1)/(x^(2)+4x-5)lt0