Question

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

Answer 1

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

Answer 2

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

Answer 3

subtract x from both sides