7.25-3/8x=50%
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3/7.9/11+3/7.5/11-3/7.25/11
=3/7.(9/11+5/11-25/11)
=3/7.(-1)
=-3/7
\(\frac{15^5.15^{10}}{9^7.25^3}=\frac{15^{15}}{3^{14}.5^6}=\frac{3^{15}.5^{15}}{3^{14}.5^6}=3.5^9=5859375\)
\(\frac{1}{4}C=\frac{9}{16\cdot25}+\frac{3}{25\cdot28}+\frac{6}{28\cdot34}+\frac{6}{34\cdot40}\)
\(\frac{1}{4}C=\frac{1}{16}-\frac{1}{25}+\frac{1}{25}-\frac{1}{28}+\frac{1}{28}-\frac{1}{34}+\frac{1}{34}-\frac{1}{40}\)
\(\frac{1}{4}C=\frac{1}{16}-\frac{1}{40}\)
\(C=\frac{3}{20}\)
\(=\dfrac{3^{28}\cdot2^{21}\cdot5^{10}}{2^9\cdot3^3\cdot2^2\cdot3\cdot5^{12}}=\dfrac{3^{28}}{3^4}\cdot\dfrac{2^{21}}{2^{11}}\cdot\dfrac{1}{5^2}=\dfrac{3^{24}\cdot2^{10}}{5^2}\)
a) \(\frac{5-x}{4x^2-8x}\) + \(\frac{7}{8x}\) = \(\frac{x-1}{2x\left(x-2\right)}\) +\(\frac{1}{8x-16}\) ĐKXĐ : x #0, x#2, x#-2
<=> \(\frac{5-x}{4x\left(x-2\right)}\) + \(\frac{7}{8x}=\frac{x-1}{2x\left(x-2\right)}\) + \(\frac{1}{8\left(x-2\right)}\)
<=> \(\frac{2\left(5-x\right)}{8x\left(x-2\right)}+\frac{7\left(x-2\right)}{8x\left(x-2\right)}=\frac{4\left(x-1\right)}{8x\left(x-2\right)}+\frac{x}{8x\left(x-2\right)}\)
=> 10 - 2x + 7x - 14 = 4x - 4 + x
<=>-2x + 7x - 4x + x = -4 - 10 + 14
<=>x=-14
8x3-50=0
8x3 =0+50
8x3 =50
x3 =50:8
x3 =25/4 =6,25
x =1,842015749...
\(8x^3-50=0\)
\(\Rightarrow8x^3=0+50\)
\(\Rightarrow8x^3=50\)
\(\Rightarrow x^3=50\div8\)
\(\Rightarrow x^3=6,25\)
\(\Rightarrow x=\sqrt[3]{6,25}\)