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câu a:
\(8x^2-6x+3-2x=\left(2x-1\right)\sqrt{8x^2-6x+3}\)
đặt \(t=\sqrt{8x^2-6x+3}\Leftrightarrow t^2=8x^2-6x+3\)phương trình trở thành
\(t^2-2x=\left(2x-1\right)t\Leftrightarrow t^2-\left(2x-1\right)t-2x=0\)
có \(\Delta=\left(2x-1\right)^2+8x=\left(2x+1\right)^2\Rightarrow\orbr{\begin{cases}t=-1\\t=2x\end{cases}}\)
- \(t=-1\Rightarrow8x^2-6x+3=1\Leftrightarrow8x^2-6x+2=0VN\)
- \(t=2x\Rightarrow8x^2-6x+3=4x^2\Leftrightarrow4x^2-6x+3=0VN\)
Câu b:
Đặt \(t=\sqrt{x^2+1}\Leftrightarrow t^2=x^2+1\left(t>0\right)\)
PT\(\Leftrightarrow t^2-\left(x+3\right)t+3x=0\)
có :\(\Delta=\left(x+3\right)^2-4.3x=\left(x-3\right)^2\Rightarrow\orbr{\begin{cases}t=3\\t=x\end{cases}}\)
- \(t=3\Rightarrow9=x^2+1\Leftrightarrow x^2=8\Leftrightarrow\orbr{\begin{cases}x=2\sqrt{2}\\x=-2\sqrt{2}\end{cases}}\)
- \(t=x\Leftrightarrow x^2=x^2+1VN\)
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Mình nghĩ ra câu C rồi bạn nào giúp mình nghĩ nốt câu A,B hộ mình nhé mình cảm ơn!
a:6x-5-9x^2
=-(9x^2-6x+5)
=-(9x^2-6x+1+4)
=-(3x-1)^2-4<=-4
=>A>=2/-4=-1/2
Dấu = xảy ra khi x=1/3
b: \(B=\dfrac{4x^2-6x+4-1}{2x^2-3x+2}=2-\dfrac{1}{2x^2-3x+2}\)
2x^2-3x+2=2(x^2-3/2x+1)
=2(x^2-2*x*3/4+9/16+7/16)
=2(x-3/4)^2+7/8>=7/8
=>-1/2x^2-3x+2<=-1:7/8=-8/7
=>B<=-8/7+2=6/7
Dâu = xảy ra khi x=3/4
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2:
=>x^3-1-2x^3-4x^6+4x^6+4x=6
=>-x^3+4x-7=0
=>x=-2,59
4: =>8x-24x^2+2-6x+24x^2-60x-4x+10=-50
=>-62x+12=-50
=>x=1
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Mình ko ghi lại đề , bạn ghi ra xong rồi suy ra như mình nha .
1) \(=>A=\left(6x^2+3x-10x-5\right)-\left(6x^2+14x-9x-21\right)\)
\(=>A=-12x+16\)
2) \(=>B=8x^3+27-8x^3+2=29\)
3)\(=>C=[\left(x-1\right)-\left(x+1\right)]^3=\left(-2\right)^3=-8\)
4)\(=>D=[\left(2x+5\right)-\left(2x\right)]^3=5^3=125\)
5)\(=>E=\left(3x+1\right)^2-\left(3x+5\right)^2+12x+2\left(6x+3\right)\)
\(=>E=\left(3x+1+3x+5\right)\left(3x+1-3x-5\right)+12x+12x+6\)
\(=>E=\left(6x+6\right)\left(-4\right)+24x+6=-24x-24+24x+6=-18\)
6)\(=>F=\left(2x^2+3x-10x-15\right)-\left(2x^2-6x\right)+x+7=-8\)
k cho mik nha ,
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b) ( x+ 2) ( 3x-2) - (3x-1) ( x-5) = 11
3x^2 +6x - 2x -4 - 3x^2 +x + 15x -5 =11
20x = 11 +4+5
20x = 20
x=1
c) 2(2x+ 1) ( 8x-3) + ( 3-4x) ( 8x-7) = 6x + 73
(4x + 2)(8x-3) + 24x - 32x^2 -3 +4x = 6x +73
32x^2 + 16x - 12x + 24x - 32x^2 +4x -6x = 73 +6 +3
26x = 82
x= 41/13
a. \(\left(x+2\right)\left(3x-2\right)-\left(3x-1\right)\left(x-5\right)=11\)
\(\Rightarrow3x^2-2x+6x-4-3x^2+15x+x-5=11\)
\(\Rightarrow20x-9=11\)
\(\Rightarrow x=1\)
Vậy..................
b. \(2\left(2x+1\right)\left(8x-3\right)+\left(3-4x\right)\left(8x-7\right)=6x+73\)
\(\Rightarrow\left(4x+2\right)\left(8x-3\right)+\left(3-4x\right)\left(8x-7\right)=6x+73\)
\(\Rightarrow32x^2-12x+16x-6+24x-21-32x^2+28x-6x=73\)
\(\Rightarrow50x-27=73\)
\(\Rightarrow x=100\)
Vậy..............
Bài khó quá, tui hỏi hộ rồi á![hiha hiha](https://hoc24.vn/vendor/cke24/plugins/smiley/images/hiha.png)
https://hoc24.vn/cau-hoi/a2x3x-1-6xx138x.3254388459766
A = 2x.(3x – 1) – 6x.(x + 1) – (3 – 8x)
A = 2x.3x – 2x.1 – 6x.x – 6x.1 – 3 + 8x
A = 6^2 – 2x – 6^2 – 6x – 3 + 8x
A = -3