" (i) "quad (x^(2)-2x)^(2)-4(x^(2)-2x)+3=0

Solve the inequality (x^(2)-3x+2)(x^(3)-3x^(2))(4-x^(2))>=0

solve ((x+2)(x^(2)-2x+1))/(-4+3x-x^(2))>=0

Examine the nature of the roots of the equations (i) 2x^(2)+2x+3=0 (ii) 2x^(2)-7x+3=0 (iii) x^(2)_5x-2=0 (iv) 4x^(2)-4x+1=0

Solve: (i) 3x^(2)-4x+(20)/(3)=0 . (ii) x^(2)-2x+(2)/(3)=0 .

The biquadratic equation, two of whose roots are 1+i , 1-sqrt(2) is A) x^(4)-4x^(3)+5x^(2)-2x-2=0 B) x^(4)-4x^(3)-5x^(2)+2x+2=0 C) x^(4)+4x^(3)-5x^(2)+2x-2=0 D) x^(4)+4x^(3)+5x^(2)-2x+2=0

4 (2x-3) ^ (2) - (2x-3) -14 = 0

Simplify: 2x^(2)(x^(3)-x)-3x(x^(4)+2x)-2(x^(4)-3x^(2))

0.1^(4x^(2)-2x-2)<=0.1^(2x-3)

If f(x)=4x^(2)+3x-7 and alpha is a common root of the equation x^(2)-3x+2=0 and x^(2)+2x-3=0 then the value of f(alpha) is