Question

DAU PUNCTE + COROANA cls 6
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$\frac{5 \times 9 {}^{73} + 5 \times 9 {}^{73} }{10 \times 9 {}^{71} } = \frac{9x}{15}$

Answer 1

Am atasat rezolvarea

Answer 2

$\frac{5 \cdot 9^{73}+5 \cdot 9^{73}}{10 \cdot 9^{71}}=\frac{9x}{15}\\ \\ \frac{9^{73}(5+5)}{10 \cdot 9^{71}}=\frac{9x}{15}\\ \\ \frac{9^{73}\cdot 10}{10 \cdot 9^{71}}=\frac{9x}{15}\\ \\ \frac{9^{2} \cdot 9^{71}\cdot 10}{9^{71}\cdot 10}=\frac{9x}{15}\\ \\ 9^{2}=\frac{9x}{15}\\ \\ 81\cdot 15=9x \\ \\ 1215=9x \\ \\ \Rightarrow x=1215:9\\ \\ \boxed{x=135}$