Question

GPT: 48/(x+4) + 48/(x-4) = 5

Answer 1

x=\(\frac{76}{5}\)

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Answer 2

\(\frac{48}{x+4}+\frac{48}{x-4}=5\)

\(\Leftrightarrow\frac{48\left(x-4\right)}{\left(x-4\right)\left(x+4\right)}+\frac{48\left(x+4\right)}{\left(x+4\right)\left(x-4\right)}=\frac{5\left(x+4\right)\left(x-4\right)}{\left(x-4\right)\left(x+4\right)}\)

\(\Rightarrow48\left(x-4\right)+48\left(x+4\right)=5\left(x-4\right)\left(x+4\right)\)

\(\Leftrightarrow48x-192+48x+192-5\left(x+4\right)\left(x-4\right)=0\)

\(\Leftrightarrow96x-5\left(x^2-4\right)=0\)

\(\Leftrightarrow96x-5x^2+20=0\)

Giải phương trình bậc hai tìm x