Question 88

The sum of a number and 4 times its reciprocal is 5. What is the number?

Solution

Let the fraction be $$x$$

According to ques,

=> $$x+\frac{4}{x}=5$$

=> $$\frac{x^2+4}{x}=5$$

=> $$x^2+4=5x$$

=> $$x^2-5x+4=0$$

=> $$x^2-x-4x+4=0$$

=> $$x(x-1)-4(x-1)=0$$

=> $$(x-1)(x-4)=0$$

=> $$x=1,4$$

=> Ans - (A)

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