## anonymous 5 years ago a number plus the reciprocal of the number is 5/4 of the number. What is the number? (fyi answer is -2 or 2)

1. watchmath

$$x+\frac{1}{x}=\frac{5}{4}x$$ $$\frac{1}{x}=\frac{x}{4}$$ $$4=x^2$$ $$x=\pm 2$$

2. anonymous

how did u go from the 1st line to the 2nd line?

3. watchmath

subtract x from both sides