a) \(6x+15\times8=12\times\left(19-x\right)\)

\(6x+120=228-12x\)

\(6x+120-228+12x=0\)

\(18x-108=0\)

\(18x=108\)

\(x=6\)

b) \(160-\left(35\div x+3\right)\times15=15\)

\(160-\left(35\div x+3\right)=1\)

\(35\div x+3=159\)

\(35\div x=156\)

\(x=\dfrac{35}{156}\)

c) \(2x-\left(1309\div11-19\right)-2=0\)

\(2x-1309\div11-19=2\)

\(2x-119-19=2\)

\(2x-119=21\)

\(2x=140\)

\(x=70\)

d) \(\left(x-7\right)\times\left(2x-16\right)=0\)

\(x-7=0;2x-16=0\)

\(x=7;2x=16\)

\(x=7;x=8\)

a) $6x+15\times 8=12\times \left(19-x\right)$

$6x+120=228-12x$

$6x+120-228+12x=0$

$18x-108=0$

$18x=108$

$x=6$

b) $160-\left(35÷x+3\right)\times 15=15$

$160-\left(35÷x+3\right)=1$

$35÷x+3=159$

$35÷x=156$

�=35156x=15635​
 

3x/5=2y/7=2z/3

=>x/5/3=y/7/2=z/3/2

=>x/10=y/21=z/9=k

=>x=10k; y=21k; z=9k

2x^2-y^2-z^2=-160

=>2*100k^2-441k^2-81k^2=-160

=>k^2=80/161

TH1: k=căn 80/161

\(x=10\sqrt{\dfrac{80}{161}};y=21\sqrt{\dfrac{80}{161}};z=9\sqrt{\dfrac{80}{161}}\)

TH2: \(k=-\sqrt{\dfrac{80}{161}}\)

=>\(x=-10\sqrt{\dfrac{80}{161}};y=-21\sqrt{\dfrac{80}{161}};z=-9\sqrt{\dfrac{80}{161}}\)

chiu

tk nhe

xin do

bye

mik làm câu a) cho bn nhé.

x/5 = y/1 = z/-2=> x/5 = y/1 = 2z/-4

ÁP DỤNG TÍNH CHẤT DÃY TỈ SỐ BẰNG NHAU, TA CÓ:

x/5 + y/1 - 2z/-4 = 160/10 =  16

Từ x/5 = 16 => x = 80

      y/1 = 16 => y = 16

      z/-2 = 16 => z = (-32)

Nhớ k mik nha

-79 - 9.(2x - 1)² = -160

9.(2x - 1)² = -79 - (-160)

9.(2x - 1)² = 81

(2x - 1)² = 81 : 9

(2x - 1)² = 9

(2x - 1)² = 3²

\(\Rightarrow\) 2x - 1 = 3

2x = 3 + 1

2x = 4

x = 4 : 2

x = 2

Vậy x = 2

Nhìn mãi mới hiểu cái đề bài @-@

`a)đk:` $\begin{cases}\sqrt{x^2-2x} \ge 0\\x+\sqrt{x^2-2x} \ne 0\\x-\sqrt{x^2-2x} ne 0\\\end{cases}$
`<=>` $\begin{cases}x \ge 2\,or\,x<0\\x \ne 0\end{cases}$
`b)A=(x+sqrt{x^2-2x})/(x-sqrt{x^2-2x})-(x-sqrt{x^2-2x})/(x+sqrt{x^2+2x})`
`=((x+sqrt{x^2-2x})^2-(x-sqrt{x^2-2x})^2)/((x+sqrt{x^2-2x})(x-sqrt{x^2-2x}))`
`=(x^2+x^2-2x+2sqrt{x^2-2x}-x^2-x^2+2x+2sqrt{x^2-2x})/(x^2-x^2+2x)`
`=(4sqrt{x^2-2x})/(2x)`
`=(2sqrt{x^2-2x})/x`
`c)A<2`
`<=>2sqrt{x^2-2x}<2x`
`<=>sqrt{x^2-2x}<x(x>=2)`(BP 2 vế thì x>=2)
`<=>x^2-2x<x^2`
`<=>2x>0`
`<=>x>0`
`<=>x>=2`
Vậy `x>=2` thì `A<2`.

a: ta có: \(\left(2x-5\right)\left(x+2\right)-2x\left(x-1\right)=15\)

\(\Leftrightarrow2x^2+4x-5x-10-2x^2+2x=15\)

\(\Leftrightarrow x=25\)

b: Ta có: \(\left(5-2x\right)\left(2x+7\right)=4x^2-25\)

\(\Leftrightarrow4x^2-25+\left(2x-5\right)\left(2x+7\right)=0\)

\(\Leftrightarrow\left(2x-5\right)\left(2x+5+2x+7\right)=0\)

\(\Leftrightarrow\left(2x-5\right)\left(x+3\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=-3\end{matrix}\right.\)

c: Ta có: \(x\left(4x-5\right)-\left(2x+1\right)^2=0\)

\(\Leftrightarrow4x^2-5x-4x^2-4x-1=0\)

\(\Leftrightarrow-9x=1\)

hay \(x=-\dfrac{1}{9}\)

a: ta có: $\left(2x-5\right)\left(x+2\right)-2x\left(x-1\right)=15$

$\iff 2{}^{}+4x-5x-10-2{}^{}+2x=15$

$\iff x=25$

b: Ta có: $\left(5-2x\right)\left(2x+7\right)=4{}^{}-25$

$\iff 4{}^{}-25+\left(2x-5\right)\left(2x+7\right)=0$

$\iff \left(2x-5\right)(2x+5+2x+$