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.

Prove that the equation 3x^(5)+15x-18=0 has exactly one real root.

Solve the equation: (2x-7)(x^(2)-9)(2x+5)=91 .

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

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

By using the method of completing the square, show that the equation 4x^2+3x+5=0 has no real roots.

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

If the cubic equation 3x^3 +px +5=0 has exactly one real root then show that p gt 0

Find the roots of the equation x^2+7x-1=0

The equation (2x^(2))/(x-1)-(2x +7)/(3) +(4-6x)/(x-1) +1=0 has the roots-