Question

a) \(\dfrac{x-1}{x+5}=\dfrac{6}{7}\)                               b)\(\dfrac{x^2}{6}=\dfrac{24}{25}\)

Answer 1

a) ĐKXĐ: \(x\ne-5\)

\(\Leftrightarrow7x-7=6x+30\\ \Leftrightarrow x=37\)

b) \(\Leftrightarrow25x^2=144\\ \Leftrightarrow x^2=\dfrac{144}{25}\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{12}{5}\\x=-\dfrac{12}{5}\end{matrix}\right.\)

Answer 2

\(\left(x-1\right)7=\left(x+5\right)6\Leftrightarrow7x-7-6x-30=0\Leftrightarrow x=37\)

\(25x^2=24\cdot6\Leftrightarrow25x^2=144\Leftrightarrow\left(5x\right)^2=\left(12\right)^2\Leftrightarrow x=2,4\)

Answer 3

a) x=37
b) x=+- 12/5
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