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\(a^{2n}+b^{2n}\le0\Leftrightarrow a^{2n}+b^{2n}=0\Leftrightarrow a=b=0\)
a,\(\left(x-\frac{2}{5}\right)^{2010}+\left(y+\frac{3}{7}\right)^{468}\)< \(0\)
Vì \(\left(x-\frac{2}{5}\right)^{2010}\);\(\left(y+\frac{3}{7}\right)^{468}\)đều > \(0\)
=> \(\left(x-\frac{2}{5}\right)^{2010}=0\)
\(\left(y+\frac{3}{7}\right)^{468}=0\)
=> \(\left(x-\frac{2}{5}\right)^{2010}=0^{2010}\)
\(\left(y+\frac{3}{7}\right)^{468}=0^{468}\)
=> \(x-\frac{2}{5}=0\)
\(y-\frac{3}{7}=0\)
=> \(x=\frac{2}{5}\)
\(y=\frac{3}{7}\)
Vậy \(x=\frac{2}{5}\)\(y=\frac{3}{7}\)
- 2^y + 2^x - 224 = 0
- ( 2^y - 2^x + 224 ) = 0
2^y - 2^x + 224 = 0
Tìm cá số nguyên dương x,y biết:
\(2^x\)\(-\) \(2^y\)= \(224\)
=> \(2^x-2^y=2^{10}\)
=> \(2^y=2^{10}\)
=> y = 10
=> \(2^x=2^{10}+2^{10}\)
=> \(2^x=2^{11}\)
=> x = 11
Vậy x = 11; y = 10
Trả lời:
\(y\times\frac{15}{2}-\frac{1}{3}\times\left(\frac{1}{4}+y\right)=96\frac{2}{3}\)
\(\Leftrightarrow y\times\frac{15}{2}-\frac{1}{12}-\frac{1}{3}\times y=\frac{290}{3}\)
\(\Leftrightarrow y\times\left(\frac{15}{2}-\frac{1}{3}\right)=\frac{387}{4}\)
\(\Leftrightarrow y\times\frac{43}{6}=\frac{387}{4}\)
\(\Leftrightarrow y=\frac{27}{2}\)
Vậy \(y=\frac{27}{2}\)
\(\left(a\right)y\times1,4\div1,5=2,8\)
\(\Leftrightarrow y\times1,4=2,8\times1,5\)
\(\Leftrightarrow y\times1,4=4,2\)
\(\Leftrightarrow y=4,2\div1,4\)
\(\Leftrightarrow y=3\)
\(\left(b\right)y\times1,02=3,57\times3,06\)
\(\Leftrightarrow y\times1,02=10,9242\)
\(\Leftrightarrow y=10,9242\div1,02\)
\(\Leftrightarrow y=10,71\)
\(\left(c\right)15\div y-0,85=0,35\)
\(\Leftrightarrow15\div y=0,35+0,85\)
\(\Leftrightarrow15\div y=1,2\)
\(\Leftrightarrow y=15\div1,2\)
\(\Leftrightarrow y=12,5\)
\(\left(d\right)471,5-22,5\times y=12,5\)
\(\Leftrightarrow22,5\times y=471,5-12,5\)
\(\Leftrightarrow22,5\times y=459\)
\(\Leftrightarrow y=459\div22,5\)
\(\Leftrightarrow y=20,4\)
Kukad'z Lee'z
\(\left(a\right)y\times1,4\div1,5=2,8\)
\(\Leftrightarrow y\times1,4=2,8\times1,5\)
\(\Leftrightarrow y\times1,4=4,2\)
\(\Leftrightarrow y=4,2\div1,4\)
\(\Leftrightarrow y=3\)
\(\left(a\right)y\times1,4\div1,5=2,8\)
\(\Leftrightarrow y\times1,4=2,8\times1,5\)
\(\Leftrightarrow y\times1,4=4,2\)
\(\Leftrightarrow y=4,2\div1,4\)
\(\Leftrightarrow y=3\)
a, 1,25 x10,8 x 0,8 : 0,9
= (1,25 x 0,8) x (10,8 : 0,9)
= 1 x 12
= 12
b, 0,64 x 0,04 x25:0,8 + 0,5 x 0,112
= (0,64 : 0,8) x (0,04 x 25) + 0,5 x 0,112
= 0,8 x 1 + 0,056
= 0,8 + 0,056
= 0,856
\(\hept{\begin{cases}\frac{x}{3}+\frac{y}{5}=12\\\frac{x}{5}+\frac{y}{7}=8\end{cases}\Rightarrow\hept{\begin{cases}\frac{x}{15}+\frac{y}{25}=\frac{12}{5}\\\frac{x}{15}+\frac{y}{21}=\frac{8}{3}\end{cases}}}\)
\(\Rightarrow\left(\frac{x}{15}+\frac{y}{21}\right)-\left(\frac{x}{15}+\frac{y}{25}\right)=\frac{12}{5}-\frac{8}{3}\)
\(\Rightarrow\frac{y}{21}-\frac{y}{25}=\frac{-4}{15}\)
\(\Rightarrow\frac{4y}{525}=-\frac{4}{15}\Rightarrow\frac{4y}{525}=\frac{-140}{525}\)
\(\Rightarrow y=-35\Rightarrow x=65\)
12,36 \(\times\) y + y + 16,64 \(\times\) y = 302
12,36 \(\times\) y + y \(\times\) 1 + 16,64 \(\times\) y = 302
y \(\times\) ( 12,36 + 1 + 16,64) = 302
y \(\times\) 30 = 302
y = 302 : 30
y = \(\dfrac{151}{15}\)