" 6."3x^(2)-x-2=0

Which of the following equations has 2 as a root? (a) x^(2)-4x+5=0 , (b) x^(2)+3x-12=0 (c) 2x^(2)-7x+6=0 , (d) 3x^(2)-6x-2=0

Find the discriminant of each of the following equations: (i) 2x^(2)-7x+6=0" "(ii)" "3x^(2)-2x+8=0 (iii) 2x^(2)-5sqrt(2)x+4=0" "(iv)" "sqrt(3)x^(2)+2sqrt(2)x-2sqrt(3)=0 (v) (x-1)(2x-1)=0" "(vi)" "1-x=2x^(2)

If x_(1) and x_(2) are the roots of 3x^(2)-2x-6=0 then x_(1)^(2)+x_(2)^(2) is equal to

If x=2+2^(2/3)+2^(1/3) show that x^(3)-6x^(2)+6x-2=0

Find the roots of the following quadratic equations i) 6sqrt5 x^(2) – 9x -3sqrt5 = 0 ii) x^(2) - x - 12 = 0 iii) 2x^(2) - 6x + 7 = 0 iv) 4x^(2) - 4x+17 = 3x^(2) -10x-17 v) x^(2) + 6x + 34 = 0 vi) 3x^(2) + 2x - 5 = 0

Factorise: (1)2x^(2)-x-6=0(2)a^(3)-0.216 (3) (x^(2)-3x)^(2)-8(x^(2)-3x)-20

Is {x : x^(2) - 5x -6=0} ={2,3} ?

One of the real roots of the equation x^3-6x^2+6x-2=0 is