\(\frac{12+x}{^{43+x}}\)= \(\frac{2}{3}\)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\frac{12+x}{43-x}=\frac{2}{3}\)
\(\Rightarrow\frac{\left(12+x\right)\times3}{\left(43-x\right)\times3}=\frac{2\times\left(43-x\right)}{\left(43-x\right)\times3}\)
\(\Rightarrow\frac{36+3x}{129-3x}=\frac{86-2x}{129-3x}\)
\(\Rightarrow\frac{36+3x}{129-3x}-\frac{86-2x}{129-3x}=0\)
\(\Rightarrow\frac{36+3x-86+2x}{129-3x}\)
\(\Rightarrow\frac{-50+5x}{129-3x}\)
k cho minh
12 + x / 43 - x có tổng là 12 + 43 = 55
Tổng số phần bằng nhau :
2 + 3 = 5 ( phần )
Giá trị 1 phần :
55 : 5 = 11
x là :
( 11 x 2 ) - 12 = 10
\(\frac{12+x}{43-x}=\frac{2}{3}\)
\(\Leftrightarrow2\left(43-x\right)=3\left(12+x\right)\)
\(\Leftrightarrow86-2x=36+3x\)
\(\Leftrightarrow86-36=3x+2x\)
\(\Leftrightarrow50=5x\Leftrightarrow x=10\)
\(\frac{12+x}{43-x}=\frac{2}{3}\)
2 ( 43 - x ) = 3 ( 12 + x )
86 - 2x = 36 + 3x
86 - 36 = 3x + 2x
5x = 50
x = 10
Vậy,......
(12 + x) . 3 = (43 - x) . 2
36 + 3x = 86 - 2x
86 - 36 = 3x + 2x
50 = 5x
x = 50 : 5
x = 10
\(\frac{12+X}{43-X}=\frac{2}{3}\Rightarrow\frac{\left(12+X\right)x3}{\left(43-X\right)x3}=\frac{\left(43-X\right)x2}{\left(43-X\right)x3}\)
\(\Rightarrow\left(12+X\right)x3=\left(43-X\right)x2\)
\(\Rightarrow36+3xX=86-2xX\)
\(\Rightarrow3xX+2xX=86-36\)
\(\Rightarrow5xX=30\Rightarrow X=30:5=6\)
Vậy x bằng 6
b) Đặt x2 + x + 1 = t > 0 (dễ c/m t > 0 rồi ha)
Khi đó, pt tương đương: \(t\left(t+1\right)=12\Leftrightarrow t^2+t-12=0\Leftrightarrow\left[{}\begin{matrix}t=3\\t=-4\left(L\right)\end{matrix}\right.\)
t = 3 suy ra \(x^2+x+1=3\Leftrightarrow x^2+x-2=0\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-2\end{matrix}\right.\)
Vậy...
c) Chị xem lại đề giúp em ạ.
a, \(\frac{6+x}{33}=\frac{7}{11}\)
\(\Leftrightarrow\left(6+x\right).11=7.33\)
\(\Leftrightarrow66+11x=231\)
\(\Leftrightarrow11x=231-66\)
\(\Leftrightarrow x=\frac{165}{11}=15\)
Vậy x = 15.
b,\(\frac{12+x}{43-x}=\frac{2}{3}\)
\(\Leftrightarrow3.\left(12+x\right)=2\left(43-x\right)\)
\(\Leftrightarrow36+3x=86-2x\)
\(\Leftrightarrow3x+2x=-36+86\)
\(\Leftrightarrow5x=50\)
\(\Leftrightarrow x=10\)
Vây x = 10.
Tìm x, biết:
3(x+2)(x+5) +5(x+5)(x+10) +7(x+10)(x+17) =x(x+2)(x+17) (x∉−2;−5;−10;−17)
2(x−1)(x−3) +5(x−3)(x−8) +12(x−8)(x−20) −1x−20 =−34 (x∉1;3;8;20)
x+110 +2+111 x+112 =x+113 +x+114
x−1030 +x−1443 +x−595 +x−1488 =0
\(\frac{12+50}{43+129}=\frac{2}{3}\)
\(\Rightarrow3\left(12+x\right)=2\left(43+x\right)\)
\(\Leftrightarrow36+3x=86+2x\)
\(\Leftrightarrow x=86-36=50\)