A reversible chemical reaction,

$2$ straight A space plus thin space straight B space rightwards harpoon over leftwards harpoon space straight C

can be characterized by the equilibrium relationship

K equals fraction numerator c subscript C over denominator c squared subscript A c subscript B end fraction

where the nomenclature c subscript i represents the concentration of constituent i$.$ Suppose that we define a variable x as representing the number of moles of C that are produced. Conservation of mass can be used to reformulate the equilibrium relationship as

Error converting from MathML to accessible text.

where the subscript $0$ designates the initial concentration of each constituent. If K $=$ Error converting from MathML to accessible text., Error converting from MathML to accessible text$\mathrm{.}43,$ Error converting from MathML to accessible text.Error converting from MathML to accessible text., Error converting from MathML to accessible text$\mathrm{.}4,$ determine the value of x$.$ Use the bisection method to solve for the root, with initial guesses of Error converting from MathML to accessible text.$=0,$ Error converting from MathML to accessible text.$=20.$ Starting with the initial values, go through four iterations of the bisection method, and input your lower$/$upper boundaries and root estimate for each iteration.