a, (2x-3)4=(2x-3)6
=> (2x-3)6 : (2x-3)4=1
=> (2x-3)3=
=> 2x-3=1
=> 2x=4
=> x=2
b, (3x+5)3=(3x+5)2016
=> (3x+5)2016 : (3x+5)3=1
=> (3x+5)2013=1
=> 3x+5=1
=> 3x=-4
=> x=-4/3
c, (2x+1)2015=(2x+1)2017
=> (2x+1)2017 : (2x+1)2015=1
=> (2x+1)2=1
=> 2x+1=1
=> 2x=0
=> x=0
Bài 11 : Tìm GTNN của của các biểu thức sau :
a ) \(A=\left|x+3\right|+\left|2x-5\right|+\left|x-7\right|.\)
b ) \(B=\left|x+2\right|+\left|3x-4\right|+\left|x-2\right|+5\)
c ) \(M=\left|x+2\right|+\left|x-3\right|\)
d ) \(C=\left|2x+5\right|+\left|2x+1\right|+\left|2x-7\right|+\left|2x-4\right|+4\)
e ) \(D=\left|3x-6\right|+\left|3x-9\right|+\left|3x-12\right|+\left|3x-15\right|+2018\)
Tính:
\(a)\left(-2x^2\right)\cdot\left(3x-4x^3+7-x^2\right)\)
\(b)\left(x+3\right)\cdot\left(2x^2-3x-5\right)\)
\(c)\left(-6x^5+7x^4-6x^3\right):3x^3\)
\(d)\left(9x^2-4\right):\left(3x+2\right)\)
\(e)\left(2x^4-13x^3+15x^2+11x-3\right):\left(x^2-4x-3\right)\)
Tìm x:
a)\(2.\left(3x-\frac{1}{2}\right)-2x=\frac{1}{2}\left(2x-3\right)\)
b)\(\left(2x-\frac{3}{5}\right)^2=\frac{4}{25}\)
c)\(\left(3x-1\right)^3=27\)
d)\(5-\left|x\right|=2\)
e)|2x+1|-3=3
f)|3-2x|=5
\(\left(5-x\right)\left(3x-\frac{1}{4}\right)=0\)
Tìm X biết:
\(a,5-\left|3X+1\right|=3\)
\(b,2X+1+\left|3X-2\right|=7\)
\(c,3x-\left|2x+3\right|=2x+2\)
\(d,2016+\left|x-2015\right|=x+2\)
Các bạn trình bày cách giải dùm mình nha!
chứng minh rằng các biểu thức sau không phụ thuộc vào x:
a. \(A=\left(3x+7\right)\left(2x+3\right)-\left(3x-5\right)\left(2x+11\right)\)
b. \(B=\left(x^2-2\right)\left(x^2+x-1\right)-x\left(x^3+x^2-3x-2\right)\)
c. \(C=x\left(x^3+x^2-3x-2\right)-\left(x^2-2\right)\left(x^2+x-1\right)\)
Bài 4 : Tìm \(x\), biết :
a ) \(\left|4-2x\right|+\left|x+3\right|=8\)
b ) \(\left|x+1\right|+\left|x-2\right|+\left|x+3\right|=6\)
c ) \(\left|x-2\right|+\left|x-3\right|+\left|4-x\right|=2\)
d ) \(2\left|x+2\right|+\left|4-3x\right|=11\)
e ) \(\left|2x-1\right|+\left|2x-5\right|=4\)
g ) \(\left|x-3\right|+\left|3x+4\right|=\left|2x+1\right|\)
Bài 1:
a) |2x - 3| - \(\dfrac{1}{3}\)= 0
b) \(\dfrac{5}{6}-\left|x+\dfrac{1}{4}\right|=\dfrac{1}{4}\)
c) \(\left|2x-1\right|-\left|x+\dfrac{1}{3}\right|=0\)
d) \(3x-\left|x+15\right|=\dfrac{5}{4}\)
Bài 2:
a) A= 1,3 + 2,5
b) B= -4,3 - 13,7 + (-5,7) - 6,3
c) C= 25.(-5).(-0,4).(-0,2)
d) D=|11,4 - 3.4| + |12,4 - 15,5|
Tìm x biết : \(|\left|3x-3\right|+2x+\left(-1\right)^{2016}|=3x+2017^0\)
Tìm x biết
1) \(\left(2x+3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)=\left(3x-5\right)\left(x-4\right)\)
2)\(\left(8x-3\right)\left(3x+2\right)-\left(4x+7\right)\left(x+4\right)=\left(2x+1\right)\left(5x+1\right)-33\)
3)\(6x\left(3x+5\right)-2x\left(9x-2\right)+\left(17-x\right)\left(x-1\right)+x\left(x-18\right)-17x^2=0\)
4)\(\left(x-1\right)\left(x+2\right)-\left(x-3\right)+5x-7=0\)
Giúp mình nha. Camon nhiều
