Ta có:\(49-y^2\le49\Rightarrow12\left(x-2001\right)^2\le49\)
\(\Rightarrow\left(x-2001\right)^2\le4\)
\(\Rightarrow\left(x-2001\right)^2\in\left\{0;1;4\right\}\)
\(\Rightarrow x-2001\in\left\{0;1;2\right\}\)
\(\Rightarrow x\in\left\{2001;2002;2003\right\}\)
Tìm cặp số x,y tự nhiên sao cho: 49-y^2=12{x-2001}^2
Tìm x:
a) \(\dfrac{\left(x+1\right)}{10}+\dfrac{\left(x+1\right)}{11}+\dfrac{\left(x+1\right)}{12}=\dfrac{x+1}{13}+\dfrac{x+1}{14}\)
b) \(\dfrac{x+4}{2000}+\dfrac{x+3}{2001}=\dfrac{x+2}{2002}+\dfrac{x+1}{2003}\)
Tìm cặp số tự nhiên N, (x,y) sao cho 49 - y2 = 12( x - 2001 )2
Làm ơn mk đang cần gấp ngay bâu zờ , PLEASEEEEEEE !!!
Tìm x,y biết
\(\left(x-3\right)^2+\left(y+2\right)^2=0\)
\(2\times x+2^{x+3}=136\)
\(\left(x-12+y\right)^{200}+\left(x-4-y\right)^{200}=0\)
\(\left(2\times x-5\right)^{2000}+\left(3\times y+4\right)^{2002}\le0\)
Tìm x, biết:
a) \(\left(5x+1\right)^2=\dfrac{36}{49}\)
b) \(\left[\left(-0,5\right)^3\right]^x=\dfrac{1}{64}\)
c) \(2020^{\left(x-2\right).\left(2x+3\right)}=1\)
d) \(\left(x+1\right)^{x+10}=\left(x+1\right)^{x+4}\) với \(x\in Z\)
e) \(\dfrac{3}{4}\sqrt{x}-\dfrac{1}{2}=\dfrac{1}{3}\)
\(\left|x+\frac{1}{2}\right|+\left|x+\frac{1}{6}\right|+\left|x+\frac{1}{12}\right|+\left|x=\frac{1}{20}\right|+...+\left|x+\frac{1}{101}\right|=101x\)
2. Tìm x, y, z biết\(\left(2x+1\right)^{2008}+\left(y-\frac{2}{5}\right)^{2008}+\left|x+y+z\right|=0\)
3.Tìm x\(a,2009-\left|x-2009\right|=x\)
\(b,\left|3x+2\right|=\left|5x-3\right|\)
1.tìm x \(\in\) Q biết:
a)\(\left(-\dfrac{1^3}{3}\right)\cdot x=\dfrac{1}{81}\)
b)\(\left(x\cdot5\right)^3=-64\)
c)\(\left(2x-3\right)^2-9=0\)
d)\(\left(5x+1\right)^2=\dfrac{36}{49}\)
2.tìm x,y biết:
a)\(x^2+\left(y-\dfrac{1}{10}\right)^4=0\)
b)\(\left(\dfrac{1}{2}x-5\right)^{20}+\left(y^2-\dfrac{1}{4}\right)^{40}\le0\)
giúp mình nhé các bn thân yêu !thank
1)Sắp xếp theo thứ tự tăng dần
\(\left(\dfrac{-2}{5}\right)^3;\left(0,3\right)^2;\left(\dfrac{-3}{4}\right)^3;\left(-1,2\right)^2\)
2)Tìm x và y sao cho
\(\left(\dfrac{x}{y}\right)=\left(\dfrac{x}{y}\right)^2\)
3)Chứng minh rằng
a)\(16^5+2^{15}\) chia hết cho 33
b)\(333^{555}+555^{333}\) chia hết cho 37
4)Tìm x và y biết
a)\(\left(x-3\right)^2+\left(y+2\right)^2=0\)
b)\(\left(x-12+y\right)^{200}+\left(x-4-y\right)^{200}=0\)
5)Tính giá trị của x
a)\(8^x>16\)
b)\(\left(\dfrac{2}{3}\right)^x=\dfrac{4}{9}\)
c)\(\left(\dfrac{1}{2}\right)^{x-1}=8\)
d)\(3^x< 16\)
e)\(3^x< 27\)
Help me mai 5/8 6h mik đi học rồi
1, Chứng minh các đẳng thức :
a, \(\left(x^2+y^2\right)^2-\left(2xy\right)^2=\left(x+y\right)^2\left(x-y\right)^2\)
b, \(\left(x+y\right)^3=x\left(x-3y\right)^2+y\left(y-3x\right)^2\)
2, CMR : \(\left(a+b\right)^3-\left(a-b\right)^3=2b\left(b^2+3a^2\right)\)
