Question

8-3(9/13)+25x(9/13)^2 =1+10(9/13)+25(9/13)^2 con su comprobación

Answer 1

Respuesta:

$8-3\left(\frac{9}{13}\right)+25x\left(\frac{9}{13}\right)^2=1+10\left(\frac{9}{13}\right)+25\left(\frac{9}{13}\right)^2\quad :\quad x=\frac{2363}{2025}\quad \left(\mathrm{Decimal}:\quad x=1.16691\dots \right)$

Explicación paso a paso:

$8-3\left(\frac{9}{13}\right)+25x\left(\frac{9}{13}\right)^2=1+10\left(\frac{9}{13}\right)+25\left(\frac{9}{13}\right)^2\\\frac{77}{13}+\frac{2025}{169}x=\frac{3364}{169}\\\frac{77}{13}+\frac{2025}{169}x-\frac{77}{13}=\frac{3364}{169}-\frac{77}{13}\\\frac{2025}{169}x=\frac{2363}{169}\\\frac{2025}{169}x=\frac{2363}{169}\\2025x=2363\\\frac{2025x}{2025}=\frac{2363}{2025}\\x=\frac{2363}{2025}$