The equation `e^x = m(m +1), m<0` has

If m in Z and the equation m x^(2) + (2m - 1) x + (m - 2) = 0 has rational roots, then m is of the form

If both roots of the equation x^2-(m+1)x+(m+4)=0 are negative then m equals

If both roots of the equation x^(2)-(m+1)x+(m+4)=0 are negative then m equals

If m_1 and m_2 are the roots of the equation x^2-a x-a-1=0 , then the area of the triangle formed by the three straight lines y=m_1x ,y=m_2x , and y=a(a!=-1) is

If m_1,m_2 " are the roots of the equation " x^2-ax-a-1=0 , then the area of the triangle formed by the three straight line y=m_1,x,y=m_2x and y=a(ane -1) is

The number of positive integral values of m , m le 16 for which the equation (x^(2) +x+1) ^(2) - (m-3)(x^(2) +x+1) +m=0, has 4 distinct real root is:

The number of positive integral values of m , m le 16 for which the equation (x^(2) +x+1) ^(2) - (m-3)(x^(2) +x+1) +m=0, has 4 distinct real root is:

In the equation (x(x-1)-(m+1))/((x-1)(m-1))=x/m , the roots are equal when m=

If the roots of the equation (x(x-1)-(m+1))/((x-1)(m-1)) = (x)/(m) are equal, then what is the value of m ?