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जाँच कीजिए कि क्या निम्न द्विघात समीकर...

जाँच कीजिए कि क्या निम्न द्विघात समीकरण है :
`{:((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)):}`

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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 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)

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

(i) (2x+3) (3x-5) (ii) x(1+x)^(3) (iii) (sqrtx + 1/x) (x -1/sqrtx) (iv) (x-1/x)^(2) (v) (x^(2) + 1/x^(2))^(3) (vi) (2x^(2) +5x-1) (x-3)

Find which of the following equations are quadratic : (i) (3x-1)^(2)=5(x+8) (ii) 5x^(2)-8x=-3(7-2x) (iii) (x-4)(3x+1)=(3x-1)(x+2) (iv) x^(2)+5x-5=(x-3)^(2) (v) 7x^(3)-2x^(2)+10=(2x-5)^(2) (vi) (x-1)^(2)+(x+2)^(2)+3(x+1)=0

Solve : (i) sqrt((x)/(x-3))+sqrt((x-3)/(x))=(5)/(2) (ii) ((2x-3)/(x-1))-4((x-1)/(2x-3))=3

Solve for x:4^(x)-3^(x-(1)/(2))=3^(x+(1)/(2))-2^(2x-1)

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

If x^(2)+3x+1=0 then find x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4)),x^(2)-(1)/(x^(2)),x^(2)+(1)/(x^(2))

1,1,1(2^(x)+2^(-x))^(2),(3^(x)+3^(-x))^(2),(5^(x)+5^(-x))^(2)(2^(x)-2^(-x))^(2),(3^(x)-3^(-x))^(2),(5^(x)-5^(-x))^(2)]|=