Question

Bài 1: so sánh

a) E = \(\dfrac{10^{15}+5}{10^{15\:}-8}\)

Và D = \(\dfrac{10^{16}+6}{10^{16}-7}\)

Giúp mk vs ai nhanh mk sẽ tick

Answer 1

\(E=\dfrac{10^{15}+5}{10^{15}-8}=\dfrac{10^{15}-8+13}{10^{15}-8}=1+\dfrac{13}{10^{15}-8}\)

\(D=\dfrac{10^{16}+6}{10^{16}-7}=1+\dfrac{13}{10^{16}-7}\)

Vì \(\dfrac{13}{10^{15}-8}>\dfrac{13}{10^{16}-7}\Rightarrow1+\dfrac{13}{10^{15}-8}>1+\dfrac{13}{10^{16}-7}\)

\(\Rightarrow E>D\)

\(\Rightarrowđpcm\)

Answer 2

E = $\frac{{10}^{15}+\mathrm{5=\; 10^15-8+13\; =1+13}}{{10}^{15}-\mathrm{8\; 10^15\; -8\; 10^15-8}}$

D =

$\frac{{10}^{16}+\mathrm{6\; =\; 1+\; 13}}{{10}^{16}-\mathrm{7\; 10^16-7}}$

$\frac{\mathrm{Vi\; 13/10^15>13/10^16\; =>E>D(dpcm)}}{}$