Find the least positive x in degree for which the following equation is valid

Find the least positive value of k for which the equation x^2+k x+4=0 has real roots.

Find the least positive value of k for which the equation x^(2)+kx+4=0 has real roots.

Find the least positive intergral value of c for which equation e^(x)=cx^(2) has three distinct real roots.

Find the range of x for which the following expansions are valid . (3+ (5x^(2))/(3))^(-3//7)

Find the range of x for which the following expansions are valid . (2-(3x)/(4))^(-15//4)

The least positive integer x, which satisfies |x-2|>7?

Find the order and degree of the following differential equation: ln((dy)/(dx))=ax+by

Find the order and degree of the following differential equations. (dy)/(dx)+y=logx

Find the order and degree of the following differential equations. (dy)/(dx)+y=logx