Bài 69 trang 20 SBT toán 7 tập 1

Đề bài

Tìm \(x\), biết:

a) \(\displaystyle {x \over { - 15}} = {{ - 60} \over x}\)

b) \(\displaystyle {{ - 2} \over x} = {{ - x} \over {\displaystyle {8 \over {25}}}}\)

Lời giải

a) \(\displaystyle {x \over { - 15}} = {{ - 60} \over x}\)

\(\Rightarrow x.x = \left( { - 15} \right).\left( { - 60} \right) \)

\(\Rightarrow {x^2} = 900\)

\( \Rightarrow {x^2} = {30^2}\)

\(\Rightarrow x = 30\) hoặc \(x = -30\).

b) \(\displaystyle {{ - 2} \over x} = {{ - x} \over {\displaystyle {8 \over {25}}}}\)

\(\displaystyle \Rightarrow  - 2.{8 \over {25}} = x.\left( { - x} \right) \)

\(\displaystyle \Rightarrow   - {{16} \over {25}} =- {x^2}\)

\( \displaystyle \Rightarrow {x^2} = {{16} \over {25}}\)

\( \Rightarrow {x^2} = {\left( {\dfrac{4}{5}} \right)^2}\)

\(\displaystyle \Rightarrow x = {4 \over 5}\) hoặc \(\displaystyle x =  - {4 \over 5}\)


Quote Of The Day

“Two things are infinite: the universe and human stupidity; and I'm not sure about the universe.”