If the equation `3x^(3)+2x^(2)-5x+lambda=0` ,has two distinct and real roots in [0,1] ,then the values `lambda` can take are

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

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))

If the equation x^(2)+2(lambda+1)x+lambda^(2)+lambda+7=0 has only negative roots,then the least value of lambda equals

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval

If the equation x^(3) - 3x + a = 0 has distinct roots between 0 and 1, then the value of a is

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.

If the roots of the equation x^(2)+3x+2=0 and x^(2)-x+lambda=0 are in the same ratio then the value of lambda is given by

The equation k+x^(3)e^(x+3)=0 has 2 distinct real roots & k is a prime natural number, then the possible value of k is/are

If the equation |x^(2)-5x+6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to