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20175 x ( x - 10 ) = 20176
Vì 20176 = 2017 x 2017 x 2017 x.....x 2017
Nên => x - 10 phải = 2017
=> x = 2017 + 10 = 2027
(x5)10 = x3
x chỉ có thể = 1 vì x5 > x3
=> x = 1
2017^5.(x-10)=2017^6
x-10=2017^6/2017^5
x-10=2017
x=2017+10
x=2027
(x^5)^10=x^3
x^50=x^3
x^50-x^3=0
x^48.x^3-x^3.1=0
x^3.(x^48-1)=0
<=>[x^3=0
x^48-1=0
<=>x^3=0^3
x^48=0+1
<=>x=0
x^48=1
<=>x=0
x648=1^48
<=>x=0
x=1
vay x=0 hoac x=1
x^2005=x^2
x^2005-x^2=0
x^2003*x^2*1=0
x^2.(x^2003-1)
x^2=0
x^2003-1=0
x^2=0^2
x^2003=0+1
x=0
x^2003=1
x=0
x^2003=1^2003
x=0
x=1
vay x=0 hoac x=1
\(x^6:x^3=125\)
\(x^3=125\)
\(x^3=5^3\)
\(\Rightarrow x=5\)
b, \(3.2^x-3=45\)
\(3.2^x=45+3\)
\(3.2^x=48\)
\(2^x=48:3\)
\(2^x=16\)
\(2^x=2^4\)
\(\Rightarrow x=4\)
c, \(1500:\left[\left(30+40\right):x\right]=30\)
\(1500:\left[70:x\right]=30\)
\(70:x=1500:30\)
\(70:x=50\)
\(x=70:50\)
\(x=\frac{70}{50}\)
\(x=\frac{7}{5}\)
d, \(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(720:\left[41-\left(2x-5\right)\right]=8.5\)
\(720:\left[41-\left(2x-5\right)\right]=40\)
\(41-\left(2x-5\right)=720:40\)
\(41-\left(2x-5\right)=18\)
\(2x-5=41-18\)
\(2x-5=23\)
\(2x=23+5\)
\(2x=28\)
\(x=28:2\)
\(x=14\)
bạn thử lại nhé
Ta có x20=x1
=> x=0 hoặc x=1
x6:x3=x6-3=x3=125
=>x3=53
=> x=5
Ta có
4x3+12=120
=>4x3=108
=>x3=27
=>x=3
Ta có
3.2x-3=45
=>3(2x-1)=45
=>2x-1=15
=>2x=16
=> x=2 hoặc x=-2
Ta có 1500:[(30+40):x]=30
=>70:x=50
=> x=7/5
Ta có
720:[41-(2x-5)]=23.5
=>41-(2x-5)=720:40=18
=> 2x-5=23
=>x=(23+5):2=14
KL
a/ x2 + (y - 3)2 = 5 . Phai hieu bai toan yeu cau phan h so 5 thanh tong cua hai so chinh phuong. Chi co mot cach duy nhat 5 = 1 + 4 Nhu vay \(x^2+\left(y-3\right)^2=5\Leftrightarrow\orbr{\begin{cases}x^2=1;\left(y-3\right)^2=4\\x^2=4;\left(y-3\right)^2=1\end{cases}}.\) cac ban giai tiep nhe.Co kho gi nua dau. b/ 3(x-1)2 + y2 = 6 . Phai hiai toan yeu cau ta s 6 thanh tong hai sduong, trong do co mot so chia het cho 3. Co cac truong hop sau: - T/h 1: 3(x-1)2 = 0 Loai vi khi do y2 = 6, khong co gia tr nguyen y nao. - T/h 2: 3(x-1)2 = 3 thi kh do y2 = 3, khong co gia tri nguyen nao cua y thoa man. T/h nay cung loai. - T/h 3: 3(x-1)2 = 6 tuc la (x-1)2 = 2, khong co gia tri nguyen nao cua x thoa man, T/h nay cung bi loai. Nhu vay: Khong co cap so nguyen (a, y) nao thoa man yeu cau bai ra.
a,Ta có: \(\left(x+2\right)^4=\left(x+2\right)^6\)
\(\left(x+2\right)^4-\left(x+2\right)^6=0\)
\(\left(x+2\right)^4\text{[}1-\left(x+2\right)^2\text{]=0}\)
\(\Rightarrow\orbr{\begin{cases}\left(x+2\right)^4=0\\1-\left(x+2\right)^2=0\end{cases}}\)\(\Leftrightarrow\orbr{\begin{cases}x+2=0\\x+2=1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=-1\end{cases}}\)
(4x+1)3=272
(4x+1)3=(33)2
(4x+1)3=36
(4x+1)3=93
=> 4x + 1 = 9
4x = 9 - 1
4x = 8
x = 8 : 4
x = 2
lm như bn trên hình như hơi thừa í!!
(4x+1)3 =272
(4x+1)3 =(32)3
(4x+1)3 =93
=> 4x+1 =9
4x = 9-1=8
x = 8:4=2
=> x=2
t i c k cho mik nhé!!
62x+1 + 62x+2 = 1512
62x + 6 + 62x + 36 = 1512
62x . 2 + 42 = 1512
tự làm nốt nhé
\(6^{2x+1}+6^{2x+2}=1512\)
\(\Leftrightarrow6^{2x}.6+6^{2x}.6^2=1512\)
\(\Leftrightarrow6^{2x}\left(6+36\right)=1512\)
\(\Leftrightarrow6^{2x}=36=6^2\Leftrightarrow2x=2\Leftrightarrow x=1\)