2(x-2)+3(4x-1) =0

Solve : ((x-1)^2(x-2)^3(x-4))/((x+1)(x+3)^4) ge0

The lines joining the origin to the points of intersection of 2x^(2)+3xy-4x+1=0 and 3x+y=.1 given by

Find sum of all possible solutions of the equation (x^2+3x+1)^2-3(x^2+3x+1)+4=0 .

The equation x^(4) -2x^(3) - 3x^(2) + 4x-1=0 has four distinct real roots x_1,x_2,x_3,x_4 such that x_1 lt x_2 lt x_3 lt x_4 and product of two roots is unity , then : x_1x_2+x_1x_3 + x_2x_4+x_3x_4 is equal to :

The equation x^(4) -2x^(3) - 3x^(2) + 4x-1=0 has four distinct real roots x_1,x_2,x_3,x_4 such that x_1 lt x_2 lt x_3 lt x_4 and product of two roots is unity , then : x_2^(3)+x_4^3 is equal to :

(lim)_(x rarr0)((1-cos2x)(3+cos x)/(x tan4x)) is equal to (1)(1)/(2)(2)1(3)2(4)-(1)/(4)

Solve each of the following equations and also check your result in each case: ((45-2x))/(15)-((4x+10))/5=((15-14 x))/9 5((7x+5)/3)-(23)/3=13-(4x-2)/3 (7x-1)/4-1/3\ (2x-(1-x)/2)=(10)/3 (0. 5(x-0. 4))/(0. 42\ )-(0. 6(x-2. 71))/(0. 42)=x+6. 1

Solve (x^(3)-4x)sqrt(x^(2)-1)=0

If y = 2x + K is a diameter to the circle 2(x^(2) + y^(2)) + 3x + 4y –1 = 0 , then K equals