Question

5. Rezolvaţi ecuațiile:
va rog. e urgent. îmi pune 3...​

Answer 1

a) $\frac{x}{64}=\frac{625}{x}$

$x^{2} =64\cdot \:625$

$x^2=40000$

$x=\sqrt{40000},\:x=-\sqrt{40000}$

$x=\sqrt{40000} =\sqrt{200^2} =200$

$x=-\sqrt{40000} =-\sqrt{200^2} =-200$

$x=200,\:x=-200$

b) $\frac{3.6}{x}=\frac{x}{12.1}$

$3.6\cdot \:12.1=xx$

$43.56=x^2$

$x=\sqrt{43.56},\:x=-\sqrt{43.56}$

c) $\frac{x}{6\sqrt{12}}=\frac{25\sqrt{27}}{x}$

$\frac{\sqrt{3}x}{36}=\frac{75\sqrt{3}}{x}$

$\sqrt{3}xx=36\cdot \:75\sqrt{3}$

$\sqrt{3}x^2=2700\sqrt{3}$

$x=-30\sqrt{3},\:x=30\sqrt{3}$

d) $\frac{4\frac{1}{5}}{x}=\frac{x}{2\frac{1}{7}}$

$\frac{\frac{21}{5}}{x}=\frac{x}{2\frac{1}{7}}$

$\frac{\frac{21}{5}}{x}=\frac{x}{\frac{15}{7}}$

$\frac{21}{5x}=\frac{7x}{15}$

$21\cdot \:15=5x\cdot \:7x$

$315=35x^2$

$x=3,\:x=-3$

e. $\frac{5x}{48}=\frac{80}{3x}$

$5x\cdot \:3x=48\cdot \:80$

$15x^2=3840$

$x=16,\:x=-16$

f) $\frac{x-6}{96}=\frac{24}{x-6}$

$\left(x-6\right)\left(x-6\right)=96\cdot \:24$

$\left(x-6\right)^2=2304$

$x=54,\:x=-42$

Sper că te-am ajutat!

Succes!

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