Tim x:
4(1/3-x)+1/2=5/6+x
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`#3107.101107`
\(x(x+5)(x-5) - (x+2)(x^2-2x+4)=5\)
`<=> x(x^2 - 25) - (x^3 + 2^3) = 5`
`<=> x^3 - 25x - x^3 - 8 = 5`
`<=> -25x - 8 = 5`
`<=> -25x = 13`
`<=> x = -13/25`
Vậy, `x = -13/25`
_____
\((x+1)^3 - (x-1)^3 -6(x-1)^2 = -19\)
`<=> x^3 + 3x^2 + 3x + 1 - (x^3 - 3x^2 + 3x - 1) - 6(x^2 - 2x + 1) = -19`
`<=> x^3 + 3x^2 + 3x + 1 - x^3 + 3x^2 - 3x + 1 - 6x^2 + 12x - 6 = -19`
`<=> (x^3 - x^3) + (3x^2 + 3x^2 - 6x^2) + (3x - 3x + 12x) + (1 + 1 - 6) = -19`
`<=> 12x - 4 = -19`
`<=> 12x = -15`
`<=> x = -15/12 = -5/4`
Vậy, `x = -5/4.`
________
`@` Sử dụng các hđt:
`1)` `A^2 + B^2 = (A - B)(A + B)`
`2)` `A^3 + B^3 = (A + B)(A^2 - AB + B^2)`
`3)` `(A - B)^3 = A^3 - 3A^2B + 3AB^2 - B^3`
`4)` `(A + B)^3 = A^3 + 3A^2B + 3AB^2 + B^3`
`5)` `(A - B)^2 = A^2 - 2AB + B^2.`
a: \(x\left(x+5\right)\left(x-5\right)-\left(x+2\right)\left(x^2-2x+4\right)=5\)
=>\(x\left(x^2-25\right)-x^3-8=5\)
=>\(x^3-25x-x^3-8=5\)
=>-25x=13
=>\(x=-\dfrac{13}{25}\)
b: \(\left(x+1\right)^3-\left(x-1\right)^3-6\left(x-1\right)^2=-19\)
=>\(x^3+3x^2+3x+1-x^3+3x^2-3x+1-6\left(x^2-2x+1\right)=-19\)
=>\(6x^2+2-6x^2+12x-6=-19\)
=>12x-4=-19
=>12x=-15
=>x=-5/4
a) \(\frac{3}{2}x-\frac{2}{5}=\frac{1}{3}x-\frac{1}{4}\)
\(\Rightarrow\frac{3}{2}x-\frac{1}{3}x=-\frac{1}{4}+\frac{2}{5}\)
\(\frac{7}{6}x=\frac{3}{20}\Rightarrow x=\frac{9}{70}\)
b) \(-5^{\frac{1}{2}x+1}=\frac{3}{4}-\frac{7}{6}\)
\(-5^{\frac{1}{2}x}.\left(-5\right)=-\frac{5}{12}\)
\(-5^{\frac{1}{2}x}=\frac{1}{12}\)
mà -51/2x mang giá trị âm
1/12 có giá trị dương
=> không tìm được x
c) \(\frac{2x-2}{3}=\frac{7x+3}{2-1}\)
\(\frac{2x-2}{3}=7x+3=\frac{21x+9}{3}\)
=> 2x - 2 = 21x + 9
=> 2x - 21x = 9 + 2
-19x = 11
x = -11/19
phần d bn lm như phần a nha
Ta có : ( x+1 ) + ( x + 2 ) + ( x + 3 ) + ( x + 4 ) + ( x + 5 ) = 30
( x + x + x +x +x ) + ( 1 + 2 + 3 + 4 + 5 ) = 30
x * 5 + 15 = 30
x * 5 = 30 - 15
x * 5 = 15
x = 15 : 5
x = 3
Vậy x = 3
Duyệt đi , chúc bạn học giỏi
(x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) = 4 + 5 + 6 + 7 + 8
x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 30
\(x\)x 5 + 15 = 30
\(x\)x 5 = 30 - 15 = 15
x = 15 : 5 = 3
\(a,\dfrac{3}{8}=\dfrac{6}{x}\\ \Rightarrow x=6:\dfrac{3}{8}\\ \Rightarrow x=16\\ b,\dfrac{1}{9}=\dfrac{x}{27}\\ \Rightarrow x=\dfrac{1}{9}.27\\ \Rightarrow x=3\\ c,\dfrac{4}{x}=\dfrac{8}{6}\\ \Rightarrow x=4:\dfrac{4}{3}\\ \Rightarrow x=3\\ d,\dfrac{3}{x-5}=\dfrac{-4}{x+2}\\ \Rightarrow3\left(x+2\right)=-4\left(x-5\right)\\ \Rightarrow3x+6=-4x+20\\ \Rightarrow3x+6+4x-20=0\\ \Rightarrow7x-14=0\\ \Rightarrow7x=14\\ \Rightarrow x=2\)
a: =>6/x=3/8
hay x=16
b: =>x/27=1/9
nên x=3
c: =>4/x=4/3
nên x=3
d: =>3/x-5=-4/x+2
=>3x+2=-4x+20
=>7x=18
hay x=18/7
|x+3/5|-1/2=1/2
|x+3/5|=1/2+1/2
|x+3/5|=1
=>x+3/5=1
x=1-3/5
x=2/5
hay
x+3/5=-1
x=(-1)-3/5
x=-8/5
Vậy x=2/5 hay-8/5
1)vì |x-4/5|=3/4 =>x-4/5=3/4 hay x-4/5=-3/4 x=3/4+4/5 x= -3/4+4/5 x=31/20 x=1/20 vậy x=31/20 hay 1/20
a) x : 1/3 + 2/3[1/5 - 1] = 4
x : 1/3 + 2/3[1/5 - 5/5] = 4
x : 1/3 + 2/3 . -4/5 = 4
x : 1/3 + 2/3 = 4 : -4/5
x : 1/3 + 2/3 = 4 . -5/4
x : 1/3 + 2/3 = -5
x : 1/3 = -5 - 2/3
x : 1/3 = -15/3 - 2/3
x : 1/3 = -17/3
x = -17/3 . 1/3
x = -17/9
Các câu khác bn làm tương tự
\(a,0.25x\) - \(\frac{2}{3}x\) =\(1\frac{1}{6}\)
\(\Rightarrow x\cdot\left(0.25-\frac{2}{3}\right)=1\frac{1}{6}\)
\(\Rightarrow x\cdot\frac{-5}{12}=\frac{7}{6}\)
\(\Rightarrow x=\frac{7}{6}:\frac{-5}{12}\)
\(\Rightarrow x=\frac{-14}{5}=-2.8\)