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1, x+3(x-1)=4 => 4x-3=4 => 4x=7 => x=\(\dfrac{7}{4}\)
2, 2.(x-3)+5=3 => 2x-6+5=3 =>2x=4 => x=2
3, x.(x-2)-\(x^2\)=-2 => \(x^2-2x-x^2\)=-2 => -2x=-2 => x=1
4, \(x^2-x.\left(x+2\right)=6\)=> \(x^2-x^2-2x=6\)=> -2x=6 => x=-3
5,3x.(x-5)-3x.(x-3)=6 => \(3x^2-15x-3x^2+9x=6\) => -6x=6 => x=-1
6, 3.(\(x^2-2x+1\))+x.(2-3x)=7 => \(3x^2-6x+3+2x-3x^2=7\)=> -4x=4=> x=-1
2) \(x^3-6x^2+11x-6=0\)
\(\Leftrightarrow\)\(x^3-3x^2-3x^2+9x+2x-6=0\)
\(\Leftrightarrow\)\(\left(x-3\right)\left(x^2-3x+2\right)=0\)
\(\Leftrightarrow\)\(\left(x-3\right)\left(x-2\right)\left(x-1\right)=0\)
bn giải tiếp nha
3) \(x^3-4x^2+x+6=0\)
\(\Leftrightarrow\)\(x^3-3x^2-x^2+3x-2x+6=0\)
\(\Leftrightarrow\)\(\left(x-3\right)\left(x^2-x-2\right)=0\)
\(\Leftrightarrow\)\(\left(x-3\right)\left(x-2\right)\left(x+1\right)=0\)
lm tiếp nha
4) \(x^3-3x^2+4=0\)
\(\Leftrightarrow\)\(x^3+x^2-4x^2-4x+4x+4=0\)
\(\Leftrightarrow\)\(\left(x+1\right)\left(x^2-4x+4\right)=0\)
\(\Leftrightarrow\)\( \left(x+1\right)\left(x-2\right)^2=0\)
lm tiếp nha
Mk làm mẫu 1 bài cho nha !
1. <=> (x^3-x^2)+(5x^2-5x)+(6x-6) = 0
<=> (x-1).(x^2+5x+6) = 0
<=> (x-1).[(x^2+2x)+(3x+6)] = 0
<=> (x-1).(x+2).(x+3) = 0
<=> x-1=0 hoặc x+2=0 hoặc x+3=0
<=> x=1 hoặc x=-2 hoặc x=-3
Vậy ..............
Tk mk nha
1) (x+6)(3x-1)+x+6=0
⇔(x+6)(3x-1)+(x+6)=0
⇔(x+6)(3x-1+1)=0
⇔3x(x+6)=0
2) (x+4)(5x+9)-x-4=0
⇔(x+4)(5x+9)-(x+4)=0
⇔(x+4)(5x+9-1)=0
⇔(x+4)(5x+8)=0
3)(1-x)(5x+3)÷(3x-7)(x-1)
=\(\frac{\left(1-x\right)\left(5x+3\right)}{\left(3x-7\right)\left(x-1\right)}=\frac{\left(1-x\right)\left(5x+3\right)}{\left(7-3x\right)\left(1-x\right)}=\frac{\left(5x+3\right)}{\left(7-3x\right)}\)
huyển vế:
(x-2)(x-6)(x-3)(x-4)- 72X^2
(x-2)(x-6)
= (x^2 - ... +12)
số giữa:
-6x -2x = -8x
(x-3)(x-4)
= (x^2 ... +12)
số giữa:
-4x -3x = -7x
nhân 2 số giữa với nhau:
(-8x)(-7x) = +56x^2
-72x^2 +56x^2 = -16x^2 = (-16x)(x)
Đáp số:
(x^2 -16x +12)(x^2 +x +12)
\(\Leftrightarrow\frac{x}{x-3}-\frac{x}{x-5}-\frac{x}{x-4}+\frac{x}{x-6}=0\)
\(\Leftrightarrow x\left(\frac{1}{x-3}-\frac{1}{x-5}-\frac{1}{x-4}+\frac{1}{x-6}\right)=0\)
\(\Leftrightarrow x\left(\frac{x-6+x-3}{\left(x-3\right)\left(x-6\right)}-\frac{x-4+x-5}{\left(x-4\right)\left(x-5\right)}\right)=0\)
\(\Leftrightarrow x\left(2x-9\right)\left(\frac{1}{x^2-9x+18}-\frac{1}{x^2-9x+20}\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=\frac{9}{2}\end{matrix}\right.\)
B/\(\Leftrightarrow\frac{2\left(3x^2-11x+9\right)}{\left(x-1\right)\left(x-2\right)\left(x-3\right)}-\frac{6}{x-6}=0\)
\(\Leftrightarrow-\frac{2\left(11x^2-42x+36\right)}{\left(x-6\right)\left(x-1\right)\left(x-2\right)\left(x-3\right)}=0\)\(\Rightarrow11x^2-42x+36=0\)\(\Leftrightarrow11x^2-42x+\frac{441}{11}-\frac{45}{11}=\left(\sqrt{11}x+\frac{21}{\sqrt{11}}\right)^2-\frac{45}{11}.\)Dùng căn giải típ nha
x2 - 2x + 4 - x2 - 9 = 6
- 2x - 5 = 6
-2x = 11
x= \(-\frac{11}{2}\)
(x-2)2-(x-3)(x+3)=6
x2-4x+4-(x2-9)=6
x2-4x+4-x2+9=6
-4x+13=6
-4x=6-13
-4x=-7
x=(-7):(-4)
x=7/4