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

Thus f(0)=f(1) and hence equation f\'(x)=0 has at least one root between 0 and 1. Show that equation (x-1)^5+(2x+1)^9+(x+1)^21=0 has exactly one real root.

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

Statement-1 : The equation 3x^(5)+15x-18=0 has exactly one real root. Statement-2: Between any two roots of , there is a root of its derivative f'(x) .

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

The equation x^(5)-2x^(2)+7=0 has

If the equation In(x^(2)+5x)-In(x+a+3)=0 has exactly one solution for x, then number of integers in the range of a is:

Show that the equation x^(5)-3x-1=0 has a unique root in [1,2] .

Sum of the roots of the equation x^2 +7x+10=0