Final answer to the problem
$x=4,\:x=-4$
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1
Apply the formula: $\frac{a}{b}=\frac{c}{f}$$\to af=bc$, where $a=x$, $b=2$, $c=8$ and $f=x$
$x^2=16$
Learn how to solve equations rationnelles problems step by step online.
$x^2=16$
Learn how to solve equations rationnelles problems step by step online. x/2=8/x. Apply the formula: \frac{a}{b}=\frac{c}{f}\to af=bc, where a=x, b=2, c=8 and f=x. Apply the formula: x^a=b\to \left(x^a\right)^{\frac{1}{a}}=\pm b^{\frac{1}{a}}, where a=2 and b=16. Apply the formula: a^b=a^b, where a=16, b=\frac{1}{2} and a^b=\sqrt{16}. Apply the formula: \left(x^a\right)^b=x, where a=2, b=1, x^a^b=\sqrt{x^2} and x^a=x^2.
Final answer to the problem
$x=4,\:x=-4$
