|5x|=x-12
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a: =25x^2-10x+25x^2-1-10x=50x^2-20x-1
b: =x^2-12x+32-x^2+12x-32
=0
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a, 117 - \(x\) = 28 - (-7)
117 - \(x\) = 28 + 7
117 - \(x\) = 35
\(x\) = 117 - 35
\(x\) = 82
b, \(x\) - (-38 - 2\(x\)) = (-3) - 8 + 2\(x\)
\(x\) + 38 + 2\(x\) = - 11 + 2\(x\)
3\(x\) + 38 = - 11 + 2\(x\)
3\(x\) - 2\(x\) = - 11 - 38
\(x\) = - 49
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a: \(\Leftrightarrow4x^2+9x-4x-9=0\)
=>(4x+9)(x-1)=0
=>x=1 hoặc x=-9/4
b: \(\Leftrightarrow x^2-x-4x+4=0\)
=>(x-1)(x-4)=0
=>x=1 hoặc x=4
c: \(\Leftrightarrow5x^2-5x-12x+12=0\)
=>(x-1)(5x-12)=0
=>x=12/5 hoặc x=1
d: \(\Leftrightarrow x^2-4x+x-4=0\)
=>(x-4)(x+1)=0
=>x=4 hoặc x=-1
a, Ta có a + b + c = 4 + 5 - 9 = 0
vậy pt có 2 nghiệm x = 1 ; x = -9/4
b, Ta có a + b + c = 1 - 5 + 4 = 0
vậy pt có 2 nghiệm x = 1 ; x = 4
c, Ta có a + b + c = 5 - 17 + 12 = 0
vậy pt có 2 nghiệm x = 1 ; x = 12/5
d, Ta có a - b + c = 1 + 3 - 4 = 0
vậy pt có 2 nghiệm x = -1 ; x = 4
![](https://rs.olm.vn/images/avt/0.png?1311)
a, \(4\left(18-5x\right)-12\left(3x-7\right)=15\left(2x-16\right)-6\left(x+14\right)\)
\(\Rightarrow72-20x-36x+84=30x-240-6x-84\)
\(\Rightarrow-20x-36x-30x+6x=-240-84-72-84\)
\(\Rightarrow-80x=-480\Rightarrow x=6\)
b, \(5\left(3x+5\right)-4\left(2x-3\right)=5x+3\left(2x+12\right)+1\)
\(\Rightarrow15x+25-8x+12=5x+6x+36+1\)
\(\Rightarrow15x-8x-5x-6x=36+1-25-12\)
\(\Rightarrow-4x=0\Rightarrow x=0\)
c, \(2\left(5x-8\right)-3\left(4x-5\right)=4\left(3x-4\right)+11\)
\(\Rightarrow10x-16-12x+15=12x-16+11\)
\(\Rightarrow10x-12x-12x=-16+11+16-15\)
\(\Rightarrow-14x=-4\Rightarrow x=\dfrac{2}{7}\)
d, \(5x-3\left\{4x-2\left[4x-3\left(5x-2\right)\right]\right\}=182\)
\(\Rightarrow5x-3\left[4x-2\left(4x-15x+6\right)\right]=182\)
\(\Rightarrow5x-3\left(4x-8x+30x-12\right)=182\)
\(\Rightarrow5x-12x+24x-90x+36=182\)
\(\Rightarrow-73x=182-36\)
\(\Rightarrow-73x=146\Rightarrow x=-2\)
Chúc bạn học tốt!!!
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\(15x-3-x^2+2x+x^2-13x=7\)
\(\Leftrightarrow4x=10\Leftrightarrow x=\dfrac{5}{2}\)
Ta có:
3(5x - 1) - x(x - 2) + x2 - 13x = 7
→15x - 3 - x2 + 2x + x2 - 13x = 7
→4x - 3 = 7
→4x = 10
→x = \(\dfrac{5}{2}\)
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a)4.(x+3)-(2x-12)=x-(-11+4)
4x+12-2x+12=x+11-4
2x+24=x+7
2x-x=-24+7
x=-17
b)-(4x-13)+(5x-4)=-3-(-15+7)
-4x+13+5x-4=-3+15-7
(-4x+5x)+13-4=12-7
x+9=5
x=-4
c)(5x-3)-(-2x+4)=6x-12
5x-3+2x-4=6x-12
5x+2x-6x=3+4-12
x=-5
d)(15x+20)-(9x-3)=5x-(-12)
15x+20-9x+3=5x+12
15x-9x-5x=-20-3+12
x=-11
e,(7x+14)+(3x-8)=-(-9x+3)
7x+14+3x-8=9x-3
7x+3x-9x=-14+8-3
x=-9
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\(a,\) \(5x\left(4-x\right)+\left(5x^2-12\right)=x+6\)
\(< =>20x-5x^2+5x^2-12-x-6=0\)
\(< =>19x-18=0\)
\(< =>x=\dfrac{18}{19}\)
\(b,\left(2x-7\right)\left(5+4x\right)-8\left(x^2-4x+5\right)=-30\)
\(< =>10x+8x^2-35-28x-8x^2+24x-40+30=0\)
\(< =>6x-45=0< =>x=\dfrac{45}{6}=7,5\)
a) \(5x\left(4-x\right)+\left(5x^2-12\right)=x+\Rightarrow6\\ \Leftrightarrow20x-5x^2+5x^2-12=x+6\\ \Leftrightarrow20x-12=x+6\\\Rightarrow20x-x=6+12\\ \Rightarrow19x=18\\ \Rightarrow x=\dfrac{18}{19}\)
b) \(\left(2x-7\right)\left(5+4x\right)-8\left(x^2-3x+5\right)=-30\\ \Rightarrow10x+8x^2-35-28x-8x^2+24x-40=-30\\ \Rightarrow6x-75=-30\\ \Rightarrow6x=45\\ \Rightarrow x=\dfrac{15}{2}\)
\(\text{|5x|=x-12}\)
ĐKXĐ : \(x\ge12\)
\(=>\left[{}\begin{matrix}\text{5x = x − 12}\\\text{5x = 12 − x }\end{matrix}\right.=>\left[{}\begin{matrix}\text{x = 2}\\\text{x = − 3}\end{matrix}\right.\) \(\text{(loại)}\)