Show that the equation `9x^(2)+7x-2=0` has roots and solve it.

Show that the equation x^(2)+6x+6=0 has real roots ad solve it.

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

Show that the equation 2x^(2)-6x+7=0 has no real root.

Without actually solving show that the equation x^(4)+2x^(3)-2=0 has only one real root in the interval (0,1) .

Solve the equation x^4-9x^2+20=0

Show that the equation (x-1)^5+(x+2)^7+(7x-5)^9=10 has exactly one root.

Show that the equation (x-1)^5+(x+2)^7+(7x-5)^9=10 has exactly one root.

the quadratic equation x^(2)-9x+3=0 has roots alpha and beta. If x^(2)-bx-c=0 has roots alpha^(2) and beta^(2) then (b,c) is

If alpha , beta , gamma are the roots of the equation 9x^(3)-7x+6=0 then the equation x^(3)+Ax^(2)+Bx+C=0 has roots 3alpha+2 , 3beta+2 , 3gamma+2 , where

If alpha , beta , gamma are the roots of the equation 9x^(3)-7x+6=0 then the equation x^(3)+Ax^(2)+Bx+C=0 has roots 3alpha+2 , 3beta+2 , 3gamma+2 , where