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\(\frac{x.x}{6}=\frac{24}{25}\Rightarrow25.x^2=24.6=144\Rightarrow x^2=\frac{144}{25}=\left(\frac{12}{5}\right)^2=\left(-\frac{12}{5}\right)^2\)
=> x =12/5 hoặc x = -12/5
\(x\times\frac{x}{6}=\frac{24}{25}\)
\(x=\frac{24}{25}:\frac{x}{6}\)
\(x=\frac{84}{25x}\)
\(25x^2=84\)
\(x^2=3,36\)
\(x=\frac{2\sqrt{21}}{5}\)
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\(x^2=\frac{144}{25}=\left(\frac{12}{5}\right)^2\Leftrightarrow\orbr{\begin{cases}x=\frac{12}{5}\\x=-\frac{12}{5}\end{cases}}\)
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Ta có : 2516 = (52)16 = 532 = (54)8 = 6258
Lại có 624 = (63)8 = 2168
Vì 6258 > 2168
=> 2516 > 624
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\(\frac{x^2}{6}=\frac{24}{25}\)
\(x^2\cdot25=6\cdot24\)
\(x^2\cdot25=144\)
\(x^2=144:25\)
\(x=\pm\sqrt{\frac{12}{5}}\)
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\(\frac{x^2}{6}=\frac{24}{25}\)
=> x2 . 25 = 6 . 24
=> x2 . 25 = 144
=> x2 = 5,76
=> x = \(\sqrt{5,76}\) = 2,4