a) = x^2 - 9 - (x^2 + 3x - 10)

= -3x + 1

b) = 3x + 1 - 3x + 19

= 20

a: \(\left(x+3\right)\left(x-3\right)-\left(x-2\right)\left(x+5\right)\)

\(=x^2-9-x^2-3x+10\)

\(=-3x+1\)

b: \(\dfrac{27x^3+1}{9x^2-3x+1}-\left(3x-19\right)\)

\(=3x+1-3x+19\)

=20

2(3x-1)-3(x-5)+(3x-6)=19

<=>6x-2-3x+15+3x-6=19

<=>6x+7=19

<=>6x=12

<=>x=2

2(3x-1) - 3(x-5) + (3x-6)=19

6x - 2 - 3x + 15 +3x - 6 = 19

 6 x + 7 =19

 6 x = 12

 x = 2

VẬy x =2 là nghiệm của pt

4(x−5)−(3x−1)=x−19

⇒4x−20−3x+1=x−19

⇒4x−3x−x=−19+20−1

⇒0x=0

⇒x∈R

Chúc bạn học tốt nhé! ^^

\(\text{4(x-5)-(3x-1)=x-19}\)

\(4x-20-3x+1=x-19\)

\(4x-3x-x=-19-1+20\)

\(0=0??\)

\(4\left(x-5\right)-\left(3x-1\right)=x-19\)

\(\Leftrightarrow4x-20-3x+1=x-1\)

\(\Leftrightarrow-19=-1\) ( vô lí )

Vậy pt vô nghiệm

4(x−5)−(3x−1)=x−194(x−5)−(3x−1)=x−19

⇒4x−20−3x+1=x−19⇒4x−20−3x+1=x−19

⇒4x−3x−x=−19+20−1⇒4x−3x−x=−19+20−1

⇒0x=0⇒0x=0

⇒x∈R⇒x∈R

Chúc bạn học tốt nhé! ^^

4(x−5)−(3x−1)=x−19

⇒4x−20−3x+1=x−19

⇒4x−3x−x=−19+20−1

⇒0x=0

⇒x∈R

Chúc bạn học tốt nhé! ^^

a ) 10 x X - 1 - 3 - 5 - 7 - ... - 19 = 2 + 4 + 6 + ... + 20

10 x X - 1 - 3 - 5 - 7 - ... - 19 = 110

10 x X - ( 1 + 3 + 5 + 7 + ... + 19 ) = 110

10 x X - 100 = 110

10 x X = 110 + 100

10 x X = 210

       X = 210 : 10

       X = 21

a 10 x X-1-3-5-7-....-19 = 2+4+6+....+20

​10xX-1-3-5-7-....-19=110

​10xX=110+1+3+5+7+....+19

​10xX=210

​X=210:10

​X=21

b là 4

​

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(3x+1)^4x.(3x+1)^3x=19^7x =>3x+1=19=>x=6

A,

a: \(\Leftrightarrow x^2-4-4x^2-4x-1-2x+3x^2=0\)

=>-6x-5=0

=>-6x=5

hay x=-5/6

b: \(\Leftrightarrow2x^3+8x^2+8x-8x^2-2x^3+16=0\)

=>8x+16=0

hay x=-2

c: \(\Leftrightarrow x^3-6x^2+12x-8+9x^2-1-x^3-3x^2-3x-1=0\)

=>9x-10=0

hay x=10/9

d: \(\Leftrightarrow10x-15-20x+28=19-2x^2-4x-2\)

\(\Leftrightarrow-10x+13+2x^2+4x-17=0\)

\(\Leftrightarrow2x^2-6x-4=0\)

\(\Leftrightarrow x^2-3x-2=0\)

\(\text{Δ}=\left(-3\right)^2-4\cdot1\cdot\left(-2\right)=9+8=17>0\)

Do đó: Phương trình có hai nghiệm phân biệt là:

\(\left\{{}\begin{matrix}x_1=\dfrac{3-\sqrt{17}}{2}\\x_2=\dfrac{3+\sqrt{17}}{2}\end{matrix}\right.\)

Gọi a,b,c,... cho dễ nhé!

a,\(7+2x=22-3x\)

\(\Leftrightarrow2x+3x=22-7\)

\(\Leftrightarrow5x=15\)

\(\Leftrightarrow x=3\)

Vậy...

b,\(x-12+4x=25+2x-1\)

\(\Leftrightarrow x+4x-2x=25-1+12\)

\(\Leftrightarrow3x=36\)

\(\Leftrightarrow x=12\)

Vậy...

c,\(7-\left(2x+4\right)=-\left(x+4\right)\)

\(\Leftrightarrow7-2x-4=-x-4\)

\(\Leftrightarrow-2x+x=-4+4-7\)

\(\Leftrightarrow-x=-7\)

\(\Leftrightarrow x=7\)

Vậy...

d,\(8x-3=5x+12\)

\(\Leftrightarrow8x-5x=12+3\)

\(\Leftrightarrow3x=15\)

\(\Leftrightarrow x=5\)

Vậy...

e,\(x+2x+3x-19=3x+5\)

\(\Leftrightarrow x+2x+3x-3x=5+19\)

\(\Leftrightarrow3x=24\)

\(\Leftrightarrow x=8\)

Vậy...

f,\(\left(x-1\right)-\left(2x-1\right)=9-x\)

\(\Leftrightarrow x-1-2x+1=9-x\)

\(\Leftrightarrow x-2x+x=9-1+1\)

\(\Leftrightarrow0x=9\) (Vô lý)

Vậy...

a, \(7+2x=22-3x\)

\(\Rightarrow7+2x-22+3x=0\)

\(\Rightarrow5x-15=0\)

\(\Rightarrow5x=15\Rightarrow x=3\)

b, \(x-12+4x=25+2x-1\)

\(\Rightarrow3x-12-24-2x=0\)

\(\Rightarrow x-36=0\Rightarrow x=36\)

c, \(7-\left(2x+4\right)=-\left(x+4\right)\)

\(\Rightarrow7-2x-4=-x-4\)

\(\Rightarrow3-2x+x+4=0\)

\(\Rightarrow-x=-7\Rightarrow x=7\)

d, \(8x-3=5x+12\)

\(\Rightarrow8x-3-5x-12=0\)

\(\Rightarrow3x-15=0\)

\(\Rightarrow3x=15\Rightarrow x=5\)

e, \(x+2x+3x-19=3x+5\)

\(\Rightarrow6x-19-3x-5=0\)

\(\Rightarrow3x-24=0\)

\(\Rightarrow3x=24\Rightarrow x=8\)

f, \(\left(x-1\right)-\left(2x-1\right)=9-x\)

\(\Rightarrow x-1-2x+1-9+x=0\)

(hình như câu này bị sai đề rồi, bạn xem lại đề nhé)

Chúc bạn học tốt!