Question 87

If $$3x+[\frac{1}{(5x)}]=7$$, then what is the value of $$\frac{5x}{(15x^2 + 15x + 1)}$$?

Solution

Given : $$3x+[\frac{1}{(5x)}]=7$$

=> $$\frac{15x^2+1}{5x}=7$$

=> $$15x^2+1=35x$$ ---------(i)

To find : $$\frac{5x}{(15x^2 + 15x + 1)}$$

Substituting value from equation (i), we get :

= $$\frac{5x}{35x+15x}$$

= $$\frac{5}{50}=\frac{1}{10}$$

=> Ans - (B)

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