(2x+6)(4^x-64)=0
(x6-64).(2x-4)=0
Tìm x
=> x6 - 64 = 0 => x6 = 64 => x6 = 26 => x = 2
hoặc 2x - 4 = 0 => 2x = 4 => x = 2
Vậy x = 2
Bài 1: Tìm x
a,(2x-3)2-10x2+15x=0
b,49.(x-5)2-4.(2x+1)=0
c,(x+6)2-8x-48=0
d,64.(2x+3)2-(x-6)2=0
a: \(\Leftrightarrow\left(2x-3\right)^2-5x\left(2x-3\right)=0\)
=>(2x-3)(-3x-3)=0
=>x=-1 hoặc x=3/2
b: \(\Leftrightarrow49\left(x^2-10x+25\right)-8x-4=0\)
=>\(49x^2-498x+1221=0\)
=>\(x\in\left\{6.03;4.13\right\}\)
c: \(\Leftrightarrow\left(x+6\right)\left(x+6-8\right)=0\)
=>(x-2)(x+6)=0
=>x=2 hoặc x=-6
d: =>\(\left(16x+24\right)^2-\left(x-6\right)^2=0\)
=>(16x+24+x-6)(16x+24-x+6)=0
=>(17x+18)(15x+30)=0
=>x=-2 hoặc x=-18/17
Tìm x:
a) x4-2x2+1=0
b) x4-2x2-8=0
c) x4-4x2-60=0
d) x6-16x2+64=0
a) x^4 - 2x^2 + 1 = 0
=> ( x^2 - 1 )^2 = 0
=> x^2 - 1 = 0
=> x^2 = 1
=> x = 1 hoặc x = -1
a) x4-2x2+1=0
(thang Tran giải rồi nhé)
b) x4-2x2-8=0
<=> x^4 - 2x^2 +1 -9 =0
<=> (x^2 -1)^2 -9 =0
\(\Leftrightarrow\orbr{\begin{cases}x^2-1=-3\\x^2-1=3\end{cases}\Leftrightarrow\orbr{\begin{cases}x^2=-2\left(VN\right)\\x=+_-\sqrt{2}\end{cases}}}\)
Vậy x=+- căn 2
c) x4-4x2-60=0
\(\Leftrightarrow x^4-4x^2+4-64=0\)
\(\Leftrightarrow\left(x^2-2\right)-64=0\)
\(\Leftrightarrow\left(x^2+62\right)\left(x^2-66\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x^2+62=0\\x^2-66=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x^2=-62\left(VN\right)\\x^2=+_-\sqrt{66}\end{cases}}}\)
Vậy x=+- căn 66
d) x6-16x2+64=0
2x + x - 12 = 0
64 . 6 + 81 . 4 + 17 . 6
43 . 27 + 93 . 43 + 57 . 61 + 59 . 57
2x + x - 12 = 0
2x + x = 0 + 12
2x + x = 12
3x = 12
x= 12 : 3
x = 4
64 .6 + 81 . 4 + 17 . 6
= 6 . ( 64 + 17 ) + 81 . 4
= 6 . 91 + 81 . 4
= 546 + 324
= 870
43 . 27 + 93 . 43 + 57 . 61 + 59 . 57
= ngày mai giải tiếp, đi ngủ đã !!!-_-zzz
2x + x - 12 = 0
<=> 2x + 1x - 12 = 0
<=> 3x - 12 = 0
<=> 3x = 0 + 12
<=> 3x = 12
<=> x = 12 : 3
<=> x = 4
Vậy x = 4
64 . 6 + 81 . 4 + 17 . 6
= 64 . 6 + 17 . 6 + 81 . 4
= 6 . ( 64 + 17 ) + 81 . 4
= 6 . 81 + 81 . 4
= 81 . ( 6 + 4 )
= 81 . 10
= 810
43 . 27 + 93 . 43 + 57 . 61 + 59 . 57
= 43 . ( 27 + 93 ) + 57 . ( 61 + 59 )
= 43 . 129 + 57 . 120
= 120 . ( 43 + 57 )
= 120 . 100
= 12 000
a) 200-(2x + 6)=43
b)32(x+4)-52=5.22
c) (x-36):18=12
d) (x-47) -115 =0
e 0:x=0
f 3x =9
g 4x=64
Bài làm
a) 200 - ( 2x + 6 ) = 43 b) 32 ( x + 4 ) - 52 = 5.22
2x + 6 = 200 - 64 32 ( x + 4 ) = 20 + 25
2x + 6 = 136 32 ( x + 4 ) = 45
2x = 136 - 6 x + 4 = 45 : 9 (chỗ này là x + 4 = 45 : 32 )
2x = 130 x + 4 = 5
x = 130 : 2 x = 5 - 4
x = 65 x = 1
Vậy x = 65 Vậy x = 1
c) ( x - 36 ) : 18 = 12 d) ( x - 47 ) - 115 = 0
x - 36 = 12 * 18 x - 47 = 115
x - 36 = 216 x = 115 + 47
x = 216 + 36 x = 162
x = 252 Vậy x = 162
Vậy x = 252
e) 0 : x = 0 f) 3x = 9
Vì 0 : x = 0 => 3x = 32
=> \(\frac{0}{x}=0\) => x = 2
Mà số 0 không bao giờ ở mẫu số. Vậy x = 2
=> \(x\in\left\{N\right\}\)
Vậy \(x\in\left\{N\right\}\)
g) 4x = 64
=> 4x = 43
=> x = 3
Vậy x = 3
# Chúc bạn học tốt #
phân tích
1,(x-2)^4+(x-3)^4-1
2,(x-1)^4+(x+3)^4-512
3,(x-2)^6+(x-4)^6-64
4,x^4-3x^3+6x^2+3x+1
5,3x^4-2x^3-15x^2-2x+3
6,x^6-2x^5-4x^4+6x^3+4x^2-2x-1
1) x(x-3)-2x(x-3)=0
2) x(3x-1)-5(1-3x)=0
3) 5(x+3)-2x(3x+3)=0
4) 4x(x+3)-x-3=0
5) x3+15x2+75x+125=0
6) 4x2-12x+9=0
7) x2-16x+60=0
8) x3+48x=12x2+64
1,=\(x^2-3x-2x^2+6x=-x^2+3x\)
2,=\(3x^2-x-5+15x=3x^2+14x-5\)
3,=\(5x+15-6x^2-6x=-6x^2-x+15\)
4,=\(4x^2+12x-x-3=4x^2+11x-3\)
5: =>(x+5)^3=0
=>x+5=0
=>x=-5
6: =>(2x-3)^2=0
=>2x-3=0
=>x=3/2
7: =>(x-6)(x-10)=0
=>x=10 hoặc x=6
8: \(\Leftrightarrow x^3-12x^2+48x-64=0\)
=>(x-4)^3=0
=>x-4=0
=>x=4
tìm x,y thuộc N biết
65x^6-2x^3y+y^2-64=0
phân tích
1,(x-2)^4+(x-3)^4-1
2,(x-1)^4+(x+3)^4-512
3,(x-2)^6+(x-4)^6-64
4,x^4-3x^3+6x^2+3x+1
5,3x^4-2x^3-15x^2-2x+3
6,x^6-2x^5-4x^4+6x^3+4x^2-2x-1
1: \(=x^4-8x^3+24x^2-32x+16+x^4-12x^3+54x^2-108x+81-1\)
\(=2x^4-20x^3+78x^2-140x+96\)
\(=2\left(x-3\right)\left(x-2\right)\left(x^2-5x+8\right)\)
2: \(=x^4-4x^3+6x^2-4x+1+x^4+12x^3+54x^2+108x+81-512\)
\(=2x^4+8x^3+60x^2+104x-430\)
\(=2\left(x^4+4x^3+30x^2+52x-215\right)\)
Tìm x, biết 2 x = 64
A. x = 4 B. x = 5
C. x = 6 D. x = 8