(4x - 3)x =-125
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
(4x-3)x=-125
4x.x-3x=-125
5x-3x=-125
2x=-125
x=-125:2
x=-62,5
\(\left(3-4x\right)^3=-125\)
\(\Rightarrow\left(3-4x\right)^3=\left(-5\right)^3\)
\(\Rightarrow3-4x=-5\)
\(\Rightarrow4x=8\)
\(\Rightarrow x=2\)
Vậy x = 2
\(\dfrac{x^2+4x-12}{2-x}+\dfrac{x^3-125}{x-5}=15\)
\(\dfrac{x^2-2x+6x-12}{-\left(x-2\right)}+\dfrac{\left(x-5\right)\left(x^2+5x+25\right)}{x-5}=15\)
\(\dfrac{x\left(x-2\right)+6\left(x-2\right)}{-\left(x-2\right)}+x^2+5x+25=15\)
\(\dfrac{\left(x-2\right)\left(x+6\right)}{-\left(x-2\right)}+x^2+5x+25=15\)
\(-x-6+x^2+5x+25=15\)
\(x^2+4x+19=15\)
\(x^2+4x+19-15=0\)
\(x^2+4x+4=0\)
\(\left(x+2\right)^2=0\)
\(x+2=0\)
\(x=-2\)
(4x-3)4=(4x-3)2
\(\Rightarrow\)(4x-3)4 - (4x-3)2=0
\(\Rightarrow\)(4x-3)2.[(4x-3)2-1]=0
\(\Rightarrow\)(4x-3)2-1=0:(4x-3)2
\(\Rightarrow\)(4x-3)2-1=0
\(\Rightarrow\)(4x-3)2=0+1
\(\Rightarrow\)(4x-3)2=1
\(\Rightarrow\)(4x-3)2=12
\(\Rightarrow\)4x-3=1
\(\Rightarrow\)4x=1+3
\(\Rightarrow\)x=4:4
\(\Rightarrow\)x=1
(x-1)3=125
\(\Rightarrow\)(x-1)3=53
\(\Rightarrow\)x-1=5
\(\Rightarrow\)x=5+1
\(\Rightarrow\)x=6
2x+2 - 2x=96
\(\Rightarrow\)2x. 4 - 2x=96
\(\Rightarrow\)2x . (4-1) = 96
\(\Rightarrow\)2x . 3 =96
\(\Rightarrow\)2x = 96:3
\(\Rightarrow\)2x = 32
\(\Rightarrow\)2x = 25
\(\Rightarrow\)x =5
\(4x^3+15=47\)
\(\Leftrightarrow4x^3=32\)
\(\Leftrightarrow x^3=8\)
\(\Leftrightarrow x^3=2^3\)
\(\Leftrightarrow x=2\)
\(4.2^x-3=125\)
\(\Leftrightarrow4.2^x=128\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
a) 4x3+15=47
=> 4x3=47-15
=> 4x3=32
=> x3=32:4
=> x3=23
=> x=2
b) 4.2x-3=125
=> 4.2x=125+3
=> 2x=128:4
=> 2x=32
=> 2x=25
=> x=5
4x3 + 15 = 47
4x3 = 47 - 15
4x3 = 32
x3 = 32 : 4
x3 = 8
x3 = 23
x = 2
b) 4 . 2x - 3 = 125
4 . 2x = 125 + 3
4 . 2x = 128
2x = 128 : 4
2x = 32
2x = 25
x = 5
a) \(4x^3+15=47\)
\(\Rightarrow4x^3=32\)
\(\Rightarrow x^3=8\)
\(\Rightarrow x^3=2^3\)
\(\Rightarrow x=2\)
Vậy \(x=2\)
b) \(4.2^x-3=125\)
\(\Rightarrow4.2^x=128\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
a ) \(4x^3+15=47\)
\(\Leftrightarrow4x^3=32\)
\(\Leftrightarrow x^3=8\)
\(\Leftrightarrow x^3=2^3\)
\(\Leftrightarrow x=3\)
\(4.2^x-3=125\)
\(\Leftrightarrow4.2^x=128\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
dạ em ko hiểu lắm ạ,anh(chị) có thể giải rõ hơn ko ạ?
em cảm ơn ạ!
\(4x^3+15=47\)
\(\Leftrightarrow4x^3=32\)
\(\Leftrightarrow x^3=8\)
\(\Leftrightarrow x=2\)
\(4\cdot2^x-3=125\)
\(\Leftrightarrow4\cdot2^x=128\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
4x3 + 15 = 47
=> 4x3 = 47 - 15 = 32
=> x3 = 32 : 4 = 8 = 23
=> x = 2
4.2x - 3 = 125
=> 4.2x = 125 + 3 = 128
=> 2x = 128 : 4 = 32 = 25
=>x = 5
(4x - 3)x =-125
x(4x−3)=−125 4x2−3x=−125 4x2−3x+125=0 x=\(\dfrac{3+\sqrt{1991\iota}}{8}\);\(\dfrac{3-\sqrt{1991\iota}}{8}\)