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2x ( x - 5 ) x . ( 3 - 2x ) = 26
2x\(^2\)- 10x . 3x - 2x\(^2\)= 26
2x\(^2\). ( 10x - 3x ) = 26
2x\(^2\). 7x = 26
14x\(^3\) = 26
x\(^3\) = 26 : 14
x\(^3\) = \(\frac{13}{7}\)
→ X = 1.229.... \(\approx\)1,3
\(2x\left(x-5\right)\cdot x\left(3-2x\right)=26\)
\(\Leftrightarrow\left(2x^2-10x\right)\left(3x-6x\right)=26\)
\(\Leftrightarrow6x^3-30x^2-12x^3+60x^2=26\)
\(\Leftrightarrow-12x^3+30x^2=26\)
\(\Leftrightarrow2\left(-6x^3+15x^2\right)=26\)
\(\Leftrightarrow-6x^3+15x^2=13\)
\(\Leftrightarrow-6x^3+15x^2-13=0\)
...............mình chỉ làm được đến đây thôi!
Bài 1:
\(3a.\left(2a^2-ab\right)=6a^3-3a^2b\)
\(\left(4-7b^2\right).\left(2a+5b\right)=8a+20b-14ab^2-35b^3\)
Bài 2:
\(2x^2-6x+xy-3y=2x.\left(x-3\right)+y.\left(x-3\right)=\left(x-3\right).\left(2x+y\right)\)
Bài 3: Tại x = 3/2, y =1/3 thì Q = 67/9
Bài 4:
\(\left(\frac{1}{x+1}+\frac{2x}{1-x^2}\right).\left(\frac{1}{x-1}\right)\) \(\frac{1}{\left(x+1\right).\left(x-1\right)}+\frac{2x}{\left(1-x^2\right).\left(x-1\right)}=\frac{x-1}{\left(x+1\right).\left(x-1\right)^2}+\frac{-2x}{\left(x-1\right)^2.\left(x+1\right)}\)
= \(\frac{x-1-2x}{\left(x+1\right).\left(x-1\right)^2}=\frac{-\left(x+1\right)}{\left(x+1\right).\left(x-1\right)^2}=\frac{-1}{\left(x-1\right)^2}\)
a) \(2x\left(x+5\right)-2x^2=2x^2+10x-2x^2=10x\)
b) \(\left(x+3\right)^2+\left(x-1\right)\left(3+2x\right)=x^2+6x+9+3x+2x^2-3-2x\)
\(=3x^2+7x+6\)
a: \(2x\left(x+5\right)-2x^2=2x^2+10x-2x^2=10x\)
b: \(\left(x+3\right)^2+\left(2x+3\right)\left(x-1\right)\)
\(=x^2+6x+9+2x^2-2x+3x-3\)
\(=3x^2+7x+6\)
Bài 1: (x-7)(x-8)-(x-5)(x-2)
=x^2 - 15x +56 -( x^2 -7x +10)
=46-8x.Thay x=-1/5 vào bt ta có:
A=46-8*(-1)/5=47,6
Bài 2:(x - 3)^2 - 2(x - 3)(x + 2)+ (x+2)^2
=(x - 3)[x - 3 - 2(x+2)] +(x+2)^2
=(x-3)[-x-7] + x^2+4x+4
=-x^2 -4x +21 +x^2+4x+4
=25
Bài 3:
a)2x^2 - 6x=0
<=>2x(x-3)=0
<=>2x=0 hoặc x-3=0
<=>x=0 hoặc x=3
b)x^2-6x+9=0 <-- chắc đề thế này
<=>(x-3)^2=0 dùng HĐT
<=>x-3=0 =>x=3
1) a) \(\frac{x}{x+1}+\frac{x^3-2x^2}{x^3+1}=\frac{x}{x+1}+\frac{x^3-2x^2}{\left(x+1\right)\left(x^2-x+1\right)}\)
\(=\frac{x\left(x^2-x+1\right)}{\left(x+1\right)\left(x^2-x+1\right)}+\frac{x^3-2x^2}{\left(x+1\right)\left(x^2-x+1\right)}=\frac{x^3-x^2+x+x^3-2x^2}{\left(x+1\right)\left(x^2-x+1\right)}\)
\(=\frac{2x^3-3x^2+x}{\left(x+1\right)\left(x^2-x+1\right)}=\frac{x\left(x-1\right)\left(2x-1\right)}{\left(x+1\right)\left(x^2-x+1\right)}\)
b) \(\frac{x+1}{2x-2}+\frac{3}{x^2-1}+\frac{x+3}{2x+2}=\frac{x+1}{2\left(x-1\right)}+\frac{3}{\left(x-1\right)\left(x+1\right)}+\frac{x+3}{2\left(x+1\right)}\)
\(=\frac{\left(x+1\right)^2}{2\left(x-1\right)\left(x+1\right)}+\frac{6}{2\left(x-1\right)\left(x+1\right)}+\frac{\left(x+3\right)\left(x-1\right)}{2\left(x+1\right)\left(x-1\right)}\)
\(=\frac{\left(x+1\right)^2+6+\left(x+3\right)\left(x-1\right)}{2\left(x-1\right)\left(x+1\right)}=\frac{x^2+2x+1+6+x^2+2x-3}{2\left(x-1\right)\left(x+1\right)}\)
\(=\frac{2x^2+4x+2}{2\left(x-1\right)\left(x+1\right)}=\frac{2\left(x+1\right)^2}{2\left(x-1\right)\left(x+1\right)}=\frac{x+1}{x-1}\)
2) Ta có A = \(\left(\frac{x^2+y^2}{x^2-y^2}-1\right).\frac{x-y}{4y}=\frac{2y^2}{x^2-y^2}.\frac{x-y}{4y}=\frac{2y^2\left(x-y\right)}{\left(x-y\right)\left(x+y\right).4y}=\frac{y}{2\left(x+y\right)}\)
Thay x = 14 ; y = -15 vào biểu thức ta được
\(A=\frac{y}{2\left(x+y\right)}=\frac{-15}{2\left(14-15\right)}=\frac{-15}{-2}=7,5\)
\(2.A=x\left(x^2-y\right)-x^2\left(x+y\right)+y\left(x^2-x\right)=x^3-xy-x^3-x^2y+x^2y-xy=-2xy\\ Thayx=\frac{1}{2};y=-100vàoAđược:A=-2.\frac{1}{2}.\left(-100\right)=100\)
\(3.x\left(5-2x\right)+2x\left(x-1\right)=15\Leftrightarrow5x-2x^2+2x^2-2x=15\Leftrightarrow3x=15\Leftrightarrow x=5\)
Bài 3:
\(\Leftrightarrow x^3+64-x^3+25x=264\)
hay x=8
\(1,C=6x^2+23x-55-6x^2-23x-21=-76\\ 2,=\left(2x^4-x^2+2x^3-x-6x^2+6-3\right):\left(2x^2-1\right)\\ =\left[\left(2x^2-1\right)\left(x^2+x-6\right)-3\right]:\left(2x^2-1\right)\\ =x^2+x-6\left(dư.-3\right)\\ 3,\Leftrightarrow x^3+64-x^3+25x=264\\ \Leftrightarrow25x=200\Leftrightarrow x=8\)
\(=2x^2-6x+x^2-1=x^2-6x-1\)
\(2x\left(x-3\right)+\left(x-1\right)\left(x+1\right)\)
\(=2x^2-6x+x^2-1\)
\(=3x^2-6x+1\)