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một đòn bẫy dài một mét .đặt ở đâu để có thể dùng 3600n có thể nâng tảng đá nặng 120kg?
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a. \(3x\left(5x^2-2x-1\right)\)
\(=15x^3-6x^2-3x\)
b. \(\left(x^2-2xy+3\right)\left(-xy\right)\)
\(=-x^3y+2x^2y^2-3xy\)
c. \(\left(2x^2-3xy+y^2\right)\left(x+y\right)\)
\(=2x^3-3x^2y+xy^2+2x^2y-3xy^2+y^3\)
\(=2x^3-x^2y-2xy^2\)
a) thiếu đề
b) \(\left(3x-3\right)\left(5-21x\right)+\left(7x+4\right)\left(9x-5\right)=44\)
\(15x-63x^2-15+63x+63x^2-35x+36x-20=44\)
\(79x-35=40\)
\(79x=75\)
\(x=\frac{75}{79}\)
a) x3-x2-21x+45=0
<=> x3+5x2-6x2-30x+9x+45=0
<=> (x+5)(x2-6x+9)=0
<=> (x+5)(x2-3x-3x+9)=0
<=> (x+5)(x-3)2=0
Vậy S={-5;3}
b) X3+3X2+4X+2=0
<=> X3+X2+2X2+2X+2X+2=0
<=> (X+1)(X2+2X+2)=0
VÌ X2+2X+2 >=0
NÊN S={-1}
C) X4+7X-8=0
<=> X4-X3+X3-X2+X2-X+8X-8=0
<=> (X-1)(X3+X2+X+8)=0
VÌ X3+X2+X+8>=0
NÊN S={1}
D) 6X4-X3-7X2+X+1=0
<=> 6X4-6X3+5X3-5X2-2X2+2X-X+1=0
<=> (X-1)(6X3+5X2-2X-1)=0
<=> (X-1)(6X3-3X2+8X2-4X+2X-1)=0
<=> (X-1)(2X-1)(3X2_4X+1)=0
<=> (X-1)(2X-1)(3X2-3x-x+1)=0
<=> (X-1)2(2X-1)(3x-1)=0
vậy S={1/3;1/2;1}
\(1,A=\left(3x+7\right)\left(2x+3\right)-\left(2x+3\right)-\left(3x-5\right)\left(2x+11\right)\\ =6x^2+23x+21-2x-3-6x^2-23x+55\\ =73-2x\left(đề.sai\right)\\ B=x^4+x^3-x^2-2x^2-2x+2-x^4-x^3+3x^2+2x\\ =2\\ 2,\\ a,\Leftrightarrow30x^2+18x+3x-30x^2=7\\ \Leftrightarrow21x=7\Leftrightarrow x=\dfrac{1}{3}\\ b,\Leftrightarrow-63x^2+78x-15+63x^2+x-20=44\\ \Leftrightarrow79x=79\Leftrightarrow x=1\\ c,\Leftrightarrow\left(x+5\right)\left(x^2+3x+2\right)-x^3-8x^2=27\\ \Leftrightarrow x^3+3x^2+2x+5x^2+15x+10-x^3-8x^2=27\\ \Leftrightarrow17x=17\Leftrightarrow x=1\)
\(d,\Leftrightarrow7x-2x^2-3+x^2+x-6=-x^2-x+2\\ \Leftrightarrow9x=11\Leftrightarrow x=\dfrac{11}{9}\)
9: \(=x^2\left(x+2\right)+\left(x+2\right)=\left(x+2\right)\left(x^2+1\right)\)
10: \(=x^2\left(x+2\right)-\left(x+2\right)=\left(x+2\right)\left(x-1\right)\left(x+1\right)\)
11: \(=x^3+5x^2-6x^2-30x+9x+45\)
\(=\left(x+5\right)\left(x^2-6x+9\right)\)
\(=\left(x+5\right)\left(x-3\right)^2\)
\(\left(4-3x\right)\left(10x-5\right)=0\)
\(\Rightarrow\orbr{\begin{cases}4-3x=0\\10x-5=0\end{cases}\Rightarrow\orbr{\begin{cases}3x=4\\10x=5\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{4}{3}\\x=\frac{1}{2}\end{cases}}}\)
\(\left(7-2x\right)\left(4+8x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}7-2x=0\\4+8x=0\end{cases}\Rightarrow\orbr{\begin{cases}2x=7\\8x=-4\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{7}{2}\\x=-\frac{1}{2}\end{cases}}}}\)
rồi thực hiện đến hết ...
Brainchild bé ngây thơ qus e , ko thực hiện đến hết như thế đc đâu :>
\(\left(x-3\right)\left(2x-1\right)=\left(2x-1\right)\left(2x+3\right)\)
\(2x^2-7x+3=4x^2+4x-3\)
\(2x^2-7x+3-4x^2-4x+3=0\)
\(-2x^2-11x+6=0\)
\(2x^2+11x-6=0\)
\(2x^2+12x-x-6=0\)
\(2x\left(x+6\right)-\left(x+6\right)=0\)
\(\left(x+6\right)\left(2x-1\right)=0\)
\(x+6=0\Leftrightarrow x=-6\)
\(2x-1=0\Leftrightarrow2x=1\Leftrightarrow x=\frac{1}{2}\)
\(3x-2x^2=0\)
\(x\left(2x-3\right)=0\)
\(x=0\)
\(2x-3=0\Leftrightarrow2x=3\Leftrightarrow x=\frac{3}{2}\)
Tự lm tiếp nha
Ta có: (3x-3)(5-21x)+(7x+4)(6x-5)=45
\(\Leftrightarrow15x-63x^2-15+63x+42x^2-35x+24x-20-45=0\)
\(\Leftrightarrow-21x^2+67x-80=0\)
\(\Leftrightarrow-21\left(x^2-\frac{67}{21}x-\frac{80}{21}\right)=0\)
mà -21<0
nên \(x^2-\frac{67}{21}x-\frac{80}{21}=0\)
\(\Leftrightarrow x^2-2\cdot x\cdot\frac{67}{42}+\frac{4489}{1764}-\frac{11209}{1764}=0\)
\(\Leftrightarrow\left(x-\frac{67}{42}\right)^2=\frac{11209}{1764}\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\frac{67}{42}=\frac{\sqrt{11209}}{42}\\x-\frac{67}{42}=-\frac{\sqrt{11209}}{42}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\frac{67+\sqrt{11209}}{42}\\x=\frac{67-\sqrt{11209}}{42}\end{matrix}\right.\)
Vậy: \(x\in\left\{\frac{67+\sqrt{11209}}{42};\frac{67-\sqrt{11209}}{42}\right\}\)