Question

-4/x=x/-49

Answer 1

\(\dfrac{-4}{x}=\dfrac{x}{-49}\\ x.x=\left(-4\right).\left(-49\right)\\ x^2=196\\ x=14\)

Answer 2

\(-\dfrac{4}{x}=\dfrac{x}{-49}\)

\(\Rightarrow\left(-4\right).\left(-49\right)=x.x\)

\(\Rightarrow x^2=196\)

\(\Rightarrow x=14\)

Answer 3

\(\dfrac{-4}{x}=\dfrac{x}{-49}\)

\(\rightarrow\left(-4\right)\cdot\left(-49\right)=x^2\)
\(\rightarrow196=x^2\)
TH1:  \(x=14\)
TH2: \(x=-14\)