The equation `x - 7/(x-3) = 3 - 7/(x-3)` has how many real roots ?

The real values of lambda for which the equation,4x^(3)+3x^(2)-6x+lambda=0 has two distinct real roots in [0,1] lie in the interval (A)(0,oo)(B)(3,oo)(C)(-5,(7)/(4))(D)[0,(7)/(4))

How many roots of the equation 3x^(4) + 6x^(3) + x^(2) + 6x + 3 = 0 are real ?

The value of k for which the quadratic equation kx^(2)+1=kx+3x-11x^(2) has real and equal roots are (a)-11,-3,(b)5,7(c)5,-7(d) none of these

Find for what value of 'a' equation x^(2)+2x-(a^(3)-3a-3)=0 has real roots.

The equation x^(3)+sqrt(57-7x^(3))=7 has

Find value of k if equation x^(3)-3x^(2)+2=k has i 3 real roots ii) 1 real root

Show that the equation 2x^(2)-6x+3=0 has real roots and find these roots.

The equations |{:(7,6,x),(2,x,2),(x,3,7):}|=0 has one root x = -9 then others roots …….

solve the equation 3x^3 -4x^2+x+88 =0 which has 2-sqrt(-7) as a root.