Tìm x, biết: (2x +3)(x - 4) + (x - 5)(x - 2) = (3x - 5)(x - 4)
Tìm x, biết:
a) 5(3x+5)-4(2x-3) = 5x+8(2x+12)+1
b) (2x+3)(x-4)-(3x-5)(x-4) = (5-x).(x-2)
\(a,5\left(3x+5\right)-4\left(2x-3\right)=5x+8\left(2x+12\right)+1\)
\(\Rightarrow5\left(3x+5\right)-4\left(2x-3\right)-5x-8\left(2x+12\right)-1=0\)
\(\Rightarrow15x+25-8x+12-5x-16x-96-1=0\)
\(\Rightarrow-14x-60=0\)
\(\Rightarrow-14x=60\) \(\Rightarrow x=-\frac{60}{14}=\frac{-30}{7}\)
\(b,\left(2x+3\right)\left(x-4\right)-\left(3x-5\right)\left(x-4\right)=\left(5-x\right)\left(x-2\right)\)
\(\Rightarrow2x^2+3x-8x-12-3x^2+5x+12x-20=5x-x^2-10+2x\)
\(\Rightarrow-x^2+12x-32=7x-x^2-10\)
\(\Rightarrow-x^2+12x-32-7x+x^2+10=0\)
\(\Rightarrow5x-22=0\)
\(\Rightarrow5x=22\Rightarrow x=\frac{22}{5}\)
a) 5(3x+5)-4(2x-3) = 5x+8(2x+12)+1
15x + 25 - 8x + 12 = 5x + 16x + 96 + 1
15x - 8x - 5x - 16x = 96 + 1 - 25 - 12
-14x = 60
x = \(\frac{60}{-14}\)
x = \(-\frac{30}{7}\)
b) (2x+3)(x-4)-(3x-5)(x-4) = (5-x).(x-2)
(x - 4)(2x + 3 - 3x +5) = 5x - 10 - x2 + 2x
(x - 4)[(2x - 3x) + (3 + 5)] = 5x - 10 - x2 + 2x
(x - 4)(-x + 8) = 5x - 10 - x2 + 2x
-x2 + 8x + 4x - 32 = 5x - 10 - x2 + 2x
(-x2 + x2) + (8x + 4x - 5x - 2x) = -10 + 32
5x = 22
x = \(\frac{22}{5}\)
a) 5(3x+5)-4(2x-3)=5x+8(2x+12)+1
<=> 15x+25-8x+12=5x+16x+96+1
<=>15x-8x-5x-16x=-25-12+96+1
<=> -14x = 60
<=> x= \(\frac{-60}{14}\)=\(\frac{-30}{7}\)
Vậy x= \(\frac{-30}{7}\)
tìm x thuộc Z biết :
a)|3x+5|-2(x+7)-4(7-x)=|3x+5|+2x
b)|x^2-4|+(x-2)^2=0
c)|x+7|+|x+5|+|x+3|=2x
d)|3x+5|=5-3x
tìm x biết: (2x+3)(x-4)+(x-5)(x-2)=(3x-5)(x-4)
Tìm x biết
A. 2.(3x-1)-5(x-3)-9(2x-4)=24
B. 2x2 +4( x2 -1)=2x (3x+ 1)
C. 2x (5-3x)+2x (3x-5)-3(x-7)=4
Đ. 5x(x+1)-4x(x+2=1-x
không ai trả lời
a,\(2\left(3x-1\right)-5\left(x-3\right)-9\left(2x-4\right)=24\)
\(< =>6x-2-5x+15-18x+36=24\)
\(< =>-29x+49=24< =>29x=25< =>x=\frac{25}{29}\)
b,\(2x^2+4\left(x^2-1\right)=2x\left(3x+1\right)\)
\(< =>2x^2+4x^2-4=6x^2+2x\)
\(< =>2x=-4< =>x=-\frac{4}{2}=-2\)
c, \(2x\left(5-3x\right)+2x\left(3x-5\right)-3\left(x-7\right)=4\)
\(< =>10x-6x^2+6x^2-10x-3x+21=4\)
\(< =>-3x=4-21=-17< =>x=\frac{17}{3}\)
d, \(5x\left(x+1\right)-4x\left(x+2\right)=1-x\)
\(< =>5x^2+5x-4x^2-8x=1-x\)
\(< =>x^2-3x+x-1=0\)
\(< =>x^2-2x-1=0\)
\(< =>\left(x-1\right)^2=2\)
\(< =>\orbr{\begin{cases}x-1=\sqrt{2}\\x-1=-\sqrt{2}\end{cases}}\)
\(< =>\orbr{\begin{cases}x=1+\sqrt{2}\\x=1-\sqrt{2}\end{cases}}\)
Sai rồi bn:)
a, \(2\left(3x-1\right)-5\left(x-3\right)-9\left(2x-4\right)=24\)
\(\Leftrightarrow6x-2-5x+15-18x+36=24\)
\(\Leftrightarrow-17x+25=0\Leftrightarrow x=\frac{25}{17}\)
b, \(2x^2+4\left(x^2-1\right)=2x\left(3x+1\right)\)
\(\Leftrightarrow2x^2+4x^2-4=6x^2+2x\)
\(\Leftrightarrow-4-2x=0\Leftrightarrow x=-2\)
c, \(2x\left(5-3x\right)+2x\left(3x-5\right)-3\left(x-7\right)=4\)
\(\Leftrightarrow10x-6x^2+6x^2-10x-3x+21=4\)
\(\Leftrightarrow-3x+17=0\Leftrightarrow x=\frac{17}{3}\)
d, \(5x\left(x+1\right)-4x\left(x+2\right)=1-x\)
\(\Leftrightarrow5x^2+5x-4x^2-8x=1-x\)
\(\Leftrightarrow x^2-3x-1+x=0\Leftrightarrow x^2-2x-1=0\)
\(\Leftrightarrow x^2-2x+1-2=0\Leftrightarrow\left(x-1\right)^2=2\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=\sqrt{2}\\x-1=-\sqrt{2}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\sqrt{2}+1\\x=-\sqrt{2}+1\end{cases}}}\)
Tìm x biết:
a)(2x-3)-(x-5)=(x+7)-(x+2)
b)(7x-5)-(6x+4)+(2x+3)-(2x+1)
c)(9x-3)-(8x+5)=(3x+2)
d)(x+7)-(2x+3)=(3x+5)-(2x+4)
a) ( 2x - 3 ) - ( x - 5 ) = ( x + 7 ) - ( x + 2 )
<=> 2x - 3 - x + 5 = x + 7 - x - 2
<=> x = 3
b)(7x-5)-(6x+4)=(2x+3)-(2x+1)
<=> 7x - 5 - 6x - 4 = 2x + 3 - 2x - 1
<=> x = 11
c)(9x-3)-(8x+5)=(3x+2)
<=> 9x - 3 - 8x - 5 = 3x + 2
<=> -2x = 10
<=> x = -5
d)(x+7)-(2x+3)=(3x+5)-(2x+4)
<=> x + 7 - 2x - 3 = 3x + 5 - 2x - 4
<=> -2x = -3
<=> x = 3/2
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tìm x biết
a) 5x(2x-7)+2x(8-5x)=5
b)(3x-5)(7-5x)-(5x+2)(2-3x)=4
c)5(2x-3)^2-5(x+1)^2-15(x+4)(x-4)=-10
d) 5x(x-3)(x+3)-(2x-3)^2 -5(x+2)^3+34x(x+2)=1
a)
<=> 10x - 35 + 16x - 10 = 5
<=> 10x + 16x = 5 + 35 + 10
<=> 26x = 50
<=> x = 50/26 = 25/13
bài 1 :tìm x , biết :
(x-7)^ x+1(x-7)^x+11=0
bài 2 :tìm x , biết :
a,|2x-3| > 5 c,|3x-1| ≤ 7 d,|3x-5| + |2x+3| = 7
bài 3 :
a,tính tổng S = 1 + 5^2 + 5^4 + ....... + 5^200.
b,so sánh 2^30 + 3^30 + 4^30 và 3.24^10
Bai1:tìm x biết.
a)4×(x-5)-(x-1)×(4x-3)=5
b) (3x-4)×(x-2)=3x×(x-9)-3
c)(x-5)×(x-4)-(x+1)×(x-2)=7
d)(2x-1)×(x-2)-(x+3)×(2x-7)=3
a)4×(x-5)-(x-1)×(4x-3)=5
=>4x-20-4x2+7x-3-5=0
=>-4x2+11x-28=0
=>-4(x2-\(\frac{11x}{4}\)+7)=0
=>\(-4\left(x-\frac{11}{8}\right)^2-\frac{327}{16}< 0\)
=>vô nghiệm
b) (3x-4)(x-2)=3x(x-9)-3
=>3x2-10x+8=3x2-27x-3
=>17x=-11
=>x=-11/17
c)(x-5)×(x-4)-(x+1)×(x-2)=7
=>x2-9x+20-x2+x+2=7
=>22-8x=7
=>-8x=-15
=>x=8/15
d)(2x-1)×(x-2)-(x+3)×(2x-7)=3
=>2x2-5x+2-2x2+x+21=3
=>23-4x=3
=>-4x=-20
=>x=5
1, Tìm x biết
a, ( 4/5 )^2x+5 = 625/256
b, ( 3x - 4 )^4 = ( 3x - 4 )^2
c, 3^x+1 = 9^x
d, 2^2x+3 = 4^x-5
a: =>2x+5=4
=>2x=-1
hay x=-1/2
b: \(\Leftrightarrow\left(3x-4\right)^2\cdot\left[\left(3x-4\right)^2-1\right]=0\)
=>(3x-4)(3x-5)(3x-3)=0
hay \(x\in\left\{1;\dfrac{4}{3};\dfrac{5}{3}\right\}\)
c: \(\Leftrightarrow3^{x+1}=3^{2x}\)
=>2x=x+1
=>x=1
d: \(\Leftrightarrow2^{2x+3}=2^{2x-10}\)
=>2x+3=2x-10
=>0x=-13(vô lý)