[" 4871.viter antrus for are frularor fairn frularur "(1)/(6)" : "],[[" (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^(2)-2x=(-2)(3-x)],[" (iii) "(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

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

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

Which of the following are quadratic equations in x? (i)" "x^(2)-x+3=0" "(ii)" "2x^(2)+(5)/(2)x-sqrt(3)=0 (iii)" "sqrt(2)x^(2)+7x+5sqrt(2)=0" "(iv)" "(1)/(3)x^(2)+(1)/(5)x-2=0 (v)" "x^(2)-3x-sqrt(x)+4=0" "(vi)x-(6)/(x)=3 (vii)" "x+(2)/(x)=x^(2)" "(viii)" "x^(2)-(1)/(x^(2))=5 (ix)" "(x+2)^(3)=x^(3)-8" "(x)" "(2x+3)(3x+2)=6(x-1)(x-2) (xi) " "(x+(1)/(x))^(2)=2(x+(1)/(x))+3

If x=3+2sqrt(2) , find : (i) (1)/(x) (ii) x-(1)/(x) (iii) (x-(1)/(x))^(3) (iv)x^(3)-(1)/(x^(3))

Factorize following expressions (i) (x+1)(x+2)(x+3)(x+4)-15" (ii)"4x(2x+3)(2x-1)(x+1)-54 (iii) (x-3)(x+2)(x+3)(x+8)+56