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a) \(2\left(2x-7\right)^2=18\)
\(\Leftrightarrow\left(2x-7\right)^2=9\)
\(\Leftrightarrow\left(2x-7\right)^2=3^2\)
\(\Leftrightarrow2x-7=3\)
\(\Leftrightarrow2x=10\)
\(\Leftrightarrow x=5\)
2.(2X-7)^2= 18
(2X-7)^2=18:2
(2x-7)^2= 9
(2x-7)^2 = 3^2 = (-3)^2
=> (2x-7)^2 = 3^2 và (2x-7)^2 = (-3)^2
Câu 2:
a: \(=\left(-2\right)^3\cdot\left(-3\right)^3\cdot5^3=30^3\)
b: \(=3^3\cdot\left(-2\right)^3\cdot\left(-7\right)\cdot\left(-7\right)^2\)
\(=\left(3\cdot2\cdot7\right)^3=42^3\)
Bài 1 :
a, Ta có : \(\left(-123\right)+\left|-13\right|+\left(-7\right)\)
= \(\left(-123\right)+13+\left(-7\right)=\left(-117\right)\)
b, Ta có : \(\left|-10\right|+\left|45\right|+\left(-\left|-455\right|\right)+\left|-750\right|\)
= \(10+45-455+750=350\)
c, Ta có : \(-\left|-33\right|+\left(-15\right)+20-\left|45-40\right|-57\)
= \(\left(-33\right)+\left(-15\right)+20-5-57=-90\)
( x - 7 )2 + ( -18 ) = | -31 |
\(\left(x-7\right)^2=31+18\)
\(\left(x-7\right)^2=49\)
\(\left(x-7\right)^2=\left(\pm7\right)^2\)
\(\Rightarrow\orbr{\begin{cases}x-7=7\\x-7=-7\end{cases}\Leftrightarrow\orbr{\begin{cases}x=14\\x=0\end{cases}}}\)
\(x\in\left\{0;14\right\}\)
học tốt
(x-7)^2 + (-18) = 31
(x-7)^2 =31-(-18)
(x-7)^2 =49
(x-7)^2 = 7^2
=> x-7=7
x=7+7
x=14
a: 9-25=7-x-(25+7)
=>7-x-25-7=-16
=>-x-25=-16
=>x+25=16
hay x=-9
b: \(10+2\left|x\right|=2\cdot\left(3^2-1\right)\)
\(\Leftrightarrow2\left|x\right|=2\cdot8-10=6\)
=>x=3 hoặc x=-3
c: -6x=18
nên x=18:(-6)=-3
Mình xin giải như sau:
a)15x-57=3^14:3^9
15.x-57=3^5
15.x-57=243
15.x=243+57
15.x=300
x=300:15
x=20
b)50-[70:(x-1)]=15
70:(x-1)=50-15
70:(x-1)=35
x-1=70:35
x-1=2
x=2+1
x=3
c) (5^2+2^3).x+4^2=7^2
(25+8).x+16=49
33.x=49-16
33.x=33
x=33:33
x=1
d) 2^x:2^5=1
2^x=1.2^5
2^x=2^5
Suy ra x=5
18-(x-2)^5=2.3^2
18-(x-2)^5=2.9
18-(x-2)^5=18
(x-2)^5=18-18
(x-2)^5=0
x=0+2
x=2
(-18 - 9) x ( 18+9)
= -18 - 9 x 18+9
= ( -18 + 18 ) x ( 9-9 )
= 0x0
=0
135 x 15 + (-135) x 85
= -135 + 135 x ( 15 + 85 )
= 0 x 100
= 0
(-8) x (-3)3 x (+125)
=(-8) x (-27 ) x 125
= 125 x ( -8 ) x ( -27 )
= -1000 x ( -27)
= 27000
k mk na <3
a, (x-3)2 - 18 = -9
(x-3)2 = 18 - 9
(x-3)2 = 9
(x-3)2 = 32
x-3 = 3
x = 3+3
x = 6
b, (x-7)2 + (-18) = |-31|
(x-7)2 - 18 = 31
(x-7)2 = 31+18
(x-7)2 = 49
(x-7)2 = 72
x - 7 = 7
x = 7+7
x = 14
( x - 3 )2 - 18 = -9
( x - 3 )2 = -9 + 18
( x - 3 )2 = 9
=> ( x - 3 )2 = 32
=> x - 3 = 3
=> x = 3 + 3 = 6
( x - 7 )2 + ( - 18 ) = | -31 |
=> ( x - 7 )2 + ( -18 ) = 31
( x - 7 )2 = 31 - ( -18 )
( x - 7 )2 = 49
=> ( x - 7 )2 = 72
=> x - 7 = 7
=> x = 7 + 7 = 14