x^(2)+5x-14

Find k if the cirlces x^(2)+y^(2)-5x-14y-34=0 and x^(2)+y^(2)+2x+4y+k=0 are orthogonal to each other.

if alpha,beta,gamma are the roots of 2x^(3)-5x^(2)-14x+8=0 then find alpha+beta+gamma

Solve the equation x^(3)+5x^(2)-16x-14=0 given x+7 is a root

Verify Rolles theorem for function f(x)=x^(2)-5x+4 on [1,4]

Verify the truth of Rolle's Theorem for the following functions : f(x)=x^(2)-5x+4" on "[1,4]

Verify Rolle's theorem for the function f(x)=x^(2)-5x+4 on [1,4]

Show that 2x+7 is a factor of 2x^(3)+5x^(2)-11x-14 . Hence factorise the given expression completely, using the factor theorem.

Number of distinct real roots of the equation |x-5|^(x^(2)-5x+6)=|x-5|^(x^(2)-9x+14) is