Tìm x:
(1 - 2x)mũ 2 + 8 = 17
tìm x
a, ( x - 3 ) mũ 3 + x (1 - x ) = 3
b, 4x ( x - 20 ) - ( 2x - 1 )( 2x + 3 )= 0
c, ( 2x - 1 ) mũ 2 + ( 3 + 2x )(3 - 2x )= 8
d, ( x - 20 )( x mũ 2 + 2x + 4 ) - x mũ 2 ( x + 1 ) = - 17
Tìm x:
(1 - 2x)mũ 2 + 8 = 17
(1-2x)2+8=17
<=> (1-2x)2=9
<=> \(\orbr{\begin{cases}1-2x=-3\\1-2x=3\end{cases}\Leftrightarrow\orbr{\begin{cases}2x=4\\2x=-2\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=2\\x=-1\end{cases}}}\)
(1-2x)2+8=17
(1-2x)2=17-8
(1-2x)2=9
(1-2x)2=32
\(\Rightarrow\)=> 1-2x=3 hoặc 1-2x=-3
=> x=-1 hoặc x=2
Vậy..............................
(1-2x)2+8 = 17
(1-2x)2 = 17-8
(1-2x)2 = 9
(1-2x)2 = 32
1-2x = 3
2x = 1-3
2x = -2
x = (-2):2
x = -1
(x-1 phần 2) mũ 2 =0
(x-2) mũ 2=1
(2x-1) mũ 3 =-8
(1 phần 2) mũ 2=1phần 16
49 nhân 7 mũ x =2401
2x mũ x - 15=17
2 mũ x+3 nhân 2 mũ x =32
2x (x-1 phần 7)=0
tìm x hộ mình nhé
\(\left(x-\frac{1}{2}\right)^2=0\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right)^2=0^2\)
\(\Leftrightarrow x-\frac{1}{2}=0\)
\(\Leftrightarrow x=\frac{1}{2}\)
Vậy x = 1/2
\(\left(x-2\right)^2=1\)
\(\Leftrightarrow\left(x-2\right)^2=1^2\)
\(\Leftrightarrow x-2=1\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=1\\x-2=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=3\\x=1\end{cases}}}\)
Vậy x = 3 hoặc x = 1
\(\left(2x-1\right)^3=-8\)
\(\Leftrightarrow\left(2x-1\right)^3=\left(-2\right)^3\)
\(\Leftrightarrow2x-1=-2\)
<=> 2x = -1
<=> x = -0,5
Vậy x = -0,5
\(\left(x-\frac{1}{2}\right)^2=0\)
\(x-\frac{1}{2}=0\)
\(x=\frac{1}{2}\)
\(\left(x-2\right)^2=1\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=1\\x-2=-1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=1+2\\x=-1+2\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=3\\x=1\end{cases}}\)
Vậy\(x\in\left\{3;1\right\}\)
\(\left(2x-1\right)^3=-8\)
\(\left(2x-1\right)^3=\left(-2\right)^3\)
\(2x-1=-2\)
\(2x=\left(-2\right)+1\)
\(2x=-1\)
\(x=-1\times2\)
\(x=-2\)
\(x\left(\frac{1}{2}\right)^2=\frac{1}{16}\)
\(x\left(\frac{1}{2}\right)^2=\left(\frac{1}{4}\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}x\frac{1}{2}=\frac{1}{4}\\x\frac{1}{2}=-\frac{1}{4}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{4}:\frac{1}{2}\\x=-\frac{1}{4}:\frac{1}{2}\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{1}{2}\\x=-\frac{1}{2}\end{cases}}}\)
\(49\times7^x=2401\)
\(7^x=2401:49\)
\(7^x=49\)
\(7^x=7^2\)
\(\Rightarrow x=2\)
\(2x^x-15=17\)
\(2x^x=17+15\)
\(2x^x=32\)
\(2x^x=2^5\)
\(\Rightarrow x\times x=5\)
\(\Rightarrow x^2=5\)
\(2^x+3\times2^x=32\)
\(2^x\times\left(3+1\right)=32\)
\(2^x\times4=32\)
\(2^x=32:4\)
\(2^x=8\)
\(2^x=2^3\)
\(\Rightarrow x=3\)
\(2x\left(x-\frac{1}{7}\right)=0\)
\(x\left(x-\frac{1}{7}\right)=0:2\)
\(x\left(x-\frac{1}{7}\right)=0\)
\(x\times x-x\times\frac{1}{7}=0\)
\(x^2-x\frac{1}{7}=0\)
\(x-x=0:\frac{1}{7}\)
\(x-x=0\)
\(\Rightarrow x=0\)
Bài 1:
29.(85-47)+85.(47-29)
=29.38+85.18
=1102+1530
=2632
BÀI 2
a, 15x = -75
x =( -75) : 15
x = -5
Vậy x= -5
b,-5x+8=-27
-5x = -27 - 8
-5x= -35
x =-35 : -5
x = 7
Vậy x = 7
c,3.(17 + x ) = - 42
17 + x = - 42 : 3
17 + x = -14
x = - 14 - 17
x = -31
Vậy x = - 31
d,-10 -( 2x -16) = 0
2x - 16 = 10-0
2x - 16 = 10
2x = 10 +16
2x = 26
x = 26 : 2
x = 13
Vậy x = 13
e,( mik ko bít làm)
f,( tự làm nghen bạn)
tìm X
X mũ 17 = X
(2x-2)mũ 3 = 8
tính nhanh cho minh nha
a, \(x^{17}=x\Leftrightarrow x^{17}-x=0\Leftrightarrow x\cdot\left(x^{16}-1\right)=0\Leftrightarrow\hept{\begin{cases}x=0\\x=1\\x=-1\end{cases}}\)
b, \(\left(2x-2\right)^3=8=2^3\Rightarrow2x-2=2\Leftrightarrow x=2\)
tìm x
d, ( x - 20 )(x mũ 2 + 2x + 4 )- x mũ 2 (x + 1 ) = -17
\(d,\left(x-20\right)\left(x^2+2x+4\right)-x^2\left(x+1\right)=-17\)
\(x^3+2x^2+4x-20x^2-40x-80-x^3-x^2=-17\)
\(-19x^2-36x-63=0\)
\(\Delta=\left(-36\right)^2-\left(-63.-19.4\right)=-3492< 0\)
pt vô nghiệm
1)Viết gọn kết quả phép tính sau lũy thừa:2 mũ 8.4.16.32.64.
2) tìm x,biết: 7.3 mũ x-11=52;4 mũ 10(x+5)=4 mũ 12;7x-2x=6 mũ 17:6 mũ 15+2 mũ 8:2 mũ 6;3 mũ 2x-1=27
1) \(2^8.4.16.32.64.2=2^8.2^2.2^4.2^5.2^6.2=2^{8+2+4+5+6+1}=2^{26}\)
2) \(7.3^x-11=52\Rightarrow7.3^x=52+11=63\)
\(\Rightarrow3^x=63:7=9\Rightarrow3^x=3^2\Rightarrow x=2\)
\(4^{10\left(x+5\right)}=4^{12}\Rightarrow10\left(x+5\right)=12\)
\(\Rightarrow10x+50=12\Rightarrow10x=12-50=-38\)
\(\Rightarrow x=-38:10=-\dfrac{38}{10}=-\dfrac{19}{5}\)
\(7x-2x=6^{17}:6^{15}+2^8:2^6\)
\(\Rightarrow5x=6^2+2^2\Rightarrow5x=36+4=40\)
\(\Rightarrow x=40:5=8\)
\(3^{2x-1}=27\Rightarrow3^{2x-1}=3^3\Rightarrow2x-1=3\)
\(\Rightarrow2x=4\Rightarrow x=4:2=2\)
1) 28. 4 . 16 . 32 . 64
= 28. 22. 24. 25. 26
= 225
2) 7 . 3x - 11 = 52 410 .(x + 5) = 412
⇒ 7 . 3x = 52 + 11 ⇒ x + 5 = 412 : 410
⇒ 7 . 3x = 63 ⇒ x + 5 = 42
⇒ 3x = 63 : 7 ⇒ x + 5 = 16
⇒ 3x = 9 ⇒ x = 16 - 5
⇒ 3x = 32 ⇒ x = 11
⇒ x = 2 Vậy x = 11
Vậy x = 2
bài 2; tìm x
a, 5x ( x - 1 ) + ( x + 17 ) = 0
b, 3x ( x - 3 ) mũ 2 - 3x ( x + 3 ) mũ 2 = 0
c, 7 - 9x + 2x mũ 2 = 0
d, 7 - 9x + 2x mũ 2 = 0
a, \(5x\left(x-1\right)+\left(x+17\right)=0\)
\(\Leftrightarrow5x^2-5x+x+17=0\Leftrightarrow5x^2-4x+17=0\)
\(\Leftrightarrow5\left(x^2-\frac{4}{5}x\right)+17=0\Leftrightarrow5\left(x^2-2.\frac{2}{5}x+\frac{4}{25}-\frac{4}{25}\right)+17=0\)
\(\Leftrightarrow5\left(x-\frac{2}{5}\right)^2-\frac{4}{5}+17=0\Leftrightarrow5\left(x-\frac{2}{5}\right)^2+81\ge81>0\)
Vậy pt vô nghiệm
b, \(3x\left(x-3\right)^2-3x\left(x+3\right)^2=0\)
\(\Leftrightarrow3x\left[\left(x-3\right)^2-\left(x+3\right)^2\right]=0\)
\(\Leftrightarrow3x\left(x-3-x-3\right)\left(x-3+x+3\right)=0\Leftrightarrow x.2x=0\Leftrightarrow x=0\)
c, \(2x^2-9x+7=0\Leftrightarrow2x^2-7x-2x+7=0\)
\(\Leftrightarrow x\left(2x-7\right)-\left(2x-7\right)=0\Leftrightarrow\left(x-1\right)\left(2x-7\right)=0\Leftrightarrow x=1;x=\frac{7}{2}\)
Trả lời:
a, \(5x\left(x-1\right)+\left(x+17\right)=0\)
\(\Leftrightarrow5x^2-5x+x+17=0\)
\(\Leftrightarrow5x^2-4x+17=0\)
\(\Leftrightarrow5\left(x^2-\frac{4}{5}x+\frac{17}{5}\right)=0\)
\(\Leftrightarrow x^2-\frac{4}{5}x+\frac{17}{5}=0\)
\(\Leftrightarrow x^2-2.x.\frac{2}{5}+\frac{4}{25}+\frac{81}{25}=0\)
\(\Leftrightarrow\left(x-\frac{2}{5}\right)^2+\frac{81}{25}=0\)
Vì \(\left(x-\frac{2}{5}\right)^2+\frac{81}{25}\ge\frac{81}{25}>0\forall x\)
nên pt vô nghiệm
b, \(3x\left(x-3\right)^2-3x\left(x+3\right)^2=0\)
\(\Leftrightarrow3x\left[\left(x-3\right)^2-\left(x+3\right)^2\right]=0\)
\(\Leftrightarrow3x\left(x-3-x-3\right)\left(x-3+x+3\right)=0\)
\(\Leftrightarrow3x.\left(-9\right).2x=0\)
\(\Leftrightarrow-54x^2=0\)
\(\Leftrightarrow x^2=0\)
\(\Leftrightarrow x=0\)
Vậy x = 0 là nghiệm của pt.
c, \(7-9x+2x^2=0\)
\(\Leftrightarrow2x^2-7x-2x+7=0\)
\(\Leftrightarrow x\left(2x-7\right)-\left(2x-7\right)=0\)
\(\Leftrightarrow\left(2x-7\right)\left(x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}2x-7=0\\x-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{7}{2}\\x=1\end{cases}}}\)
Vậy x = 7/2; x = 1 là nghiệm của pt.
d, trùng ý c