It is known that the function f(x) is an odd functiondefined on the entire real number line and that `x = 4` is the only positive root of the equation `f(x) = 0.`Find other roots of the equation.

Determine the number of real roots of the equation , f(x) = x+e^(x)

The equation whose roots are reciprocals of the roots of the equation f(x)=0 is

Find the number of real roots of the equation f(x) =x^(3) + 2x^(2) +x +2 =0

Find the number of real roots of the equation f(x) =x^(3) + 2x^(2) +x +2 =0

Consider the graph of y = f(x) as shown in the following figure. (i) Find the sum of the roots of the equation f (x) = 0. (ii) Find the product of the roots of the equation f(x) = 4. (iii) Find the absolute value of the difference of the roots of the equation f(x) = x+2 .

Consider the graph of y = f(x) as shown in the following figure. (i) Find the sum of the roots of the equation f (x) = 0. (ii) Find the product of the roots of the equation f(x) = 4. (iii) Find the absolute value of the difference of the roots of the equation f(x) = x+2 .

Consider the graph of y = f(x) as shown in the following figure. (i) Find the sum of the roots of the equation f (x) = 0. (ii) Find the product of the roots of the equation f(x) = 4. (iii) Find the absolute value of the difference of the roots of the equation f(x) = x+2 .

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

If f(x) is a continuous function and attains only rational values and f(0) = 3 , then roots of equation f(1)x^2 +f(3)x+f(5)=0 as