Question 34

Given that x+(l/x ) =15, then find the value of $$5x \div (5x^2-11x+5)$$

Solution

x+(l/x ) =15

$$\Rightarrow x^2 + 1 = 15x$$

$$5x \div (5x^2-11x+5)$$ = $$5x \div(5(x^2 + 1) - 11x)$$

$$\Rightarrow 5x \div(15x \times 5 - 11x)$$ = 5/64

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