In the equation 3x/4=1/x the value of b is

Step-by-step explanation:

x=±\dfrac{2}{\sqrt{3}}

Step-by-step explanation:

We want to solve the equation

\dfrac{3x}{4}=\dfrac{1}{x}

We first have to assume that x\neq 0 since the value \dfrac{1}{x} is not defined for x\neq 0.

Now, since x divides the right hand side of the equation, we multiply the two sides of this equation by x to get that

x(\frac{3}{4}x)=x(\dfrac{1}{x})\quad\Rightarrow\quad \dfrac{3}{4}x^2=1

Hence, by dividing the equation by \dfrac{4}{3} it follows that

x^2=\dfrac{4}{3}

and so

x=\pm\dfrac{2}{\sqrt{3}}

where's the diagrams?

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