(2/3*y-4/9)*[1/2+ (-3/7):y]=0.Tìm y nha
Các bác giupe nha
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Giải lại (lần này giải 1 trường hợp thôi, kẻo lại bị troll ức chế:v)
PT (2) \(\Leftrightarrow\left(x+1-\sqrt{y+4}\right)\left(x+\sqrt{y+4}-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=\sqrt{y+4}\left(3\right)\\x+\sqrt{y+4}=3\left(4\right)\end{cases}}\).
*Xét (3): Thêm điều kiện \(x\ge-1\). (3) \(\Leftrightarrow y=x^2+2x-3\) (bình phương lên:v)
Thay vào PT (1) \(\Leftrightarrow\left(1-x\right)\left(x+2\right)\left(x^4+4x^3-x^2-12x+9\right)=0\)
Vì x + 2 > 0 và \(\left(x^4+4x^3-x^2-12x+9\right)\)
\(=\frac{\left(x+5\right)\left[4\left(x-1\right)^2\left(x+2\right)+1\right]+x^2\left(x+1\right)\left(x^2+2x-2\right)^2}{\left(x+1\right)\left(x^2+1\right)+4}>0\)
Do đó x = 1. Thay vào (3) suy ra y = 0.
(4) giải tương tự cũng cho nghiệm x = 1; y= 0
\(\dfrac{8}{9}\) : ( 2 - 3 \(\times\) y) = \(\dfrac{5}{3}\)
2 - 3 \(\times\) y = \(\dfrac{8}{9}\) : \(\dfrac{5}{3}\)
2 - 3 \(\times\) y = \(\dfrac{8}{15}\)
3 \(\times\) y = 2 - \(\dfrac{8}{15}\)
3 \(\times\) y = \(\dfrac{22}{15}\)
y = \(\dfrac{22}{15}\) : 3
y = \(\dfrac{22}{45}\)
1.a.
\(\left(x+3\right)\left(x-2\right)< 0\)
\(TH1:\hept{\begin{cases}x+3< 0\\x-2>0\end{cases}}\Rightarrow\hept{\begin{cases}x< -3\\x>2\end{cases}}\)
\(TH2:\hept{\begin{cases}x+3>0\\x-2< 0\end{cases}\Rightarrow\hept{\begin{cases}x>-3\\x< 2\end{cases}}}\)
không biết có đúng không nữa!
Hơi tắt nhá
a) Đặt \(\left|x+\dfrac{9}{2}\right|+\left|y+\dfrac{4}{3}\right|+\left|z+\dfrac{7}{2}\right|=A\)
\(\left|x+\dfrac{9}{2}\right|+\left|y+\dfrac{4}{3}\right|+\left|z+\dfrac{7}{2}\right|\ge0\forall x;y;z\)
mà A\(\le0\)
\(\left|x+\dfrac{9}{2}\right|+\left|y+\dfrac{4}{3}\right|+\left|z+\dfrac{7}{2}\right|\) phải bằng 0 đê thỏa mãn điều kiện
\(\Rightarrow\left\{{}\begin{matrix}\left|x+\dfrac{9}{2}\right|=0\\\left|y+\dfrac{4}{3}\right|=0\\\left|z+\dfrac{7}{2}\right|=0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=-\dfrac{9}{2}\\y=-\dfrac{4}{3}\\z=-\dfrac{7}{2}\end{matrix}\right.\)
Vậy....
b;c)I hệt câu a nên làm tương tự nhá
d)
Hơi tắt nhá
a) Đặt \(\left|x+\dfrac{3}{4}\right|+\left|y-\dfrac{1}{5}\right|+\left|x+y+z\right|=B\)
B=\(\left|x+\dfrac{3}{4}\right|+\left|y-\dfrac{1}{5}\right|+\left|x+y+z\right|=0\)
\(\Rightarrow\left\{{}\begin{matrix}\left|x+\dfrac{3}{4}\right|=0\\\left|y-\dfrac{1}{5}\right|=0\\\left|x+y+z\right|=0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=-\dfrac{3}{4}\\y=\dfrac{1}{5}\\x+y+z=0\end{matrix}\right.\)
Thay ra ta tính đc :\(z=-\dfrac{11}{20}\)
Vậy....
a, y \(\times\) \(\dfrac{4}{3}\) = \(\dfrac{16}{9}\)
y = \(\dfrac{16}{9}\) : \(\dfrac{4}{3}\)
y = \(\dfrac{4}{3}\)
b, ( y - \(\dfrac{1}{2}\)) + 0,5 = \(\dfrac{3}{4}\)
y - 0,5 + 0,5 = \(\dfrac{3}{4}\)
y = \(\dfrac{3}{4}\)
c, \(\dfrac{4}{5}-\dfrac{2}{5}y\) = 0,2
0,8 - 0,4y = 0,2
0,4y = 0,8 - 0,2
0,4y = 0,6
y = 1,5
d, (y + \(\dfrac{3}{4}\)) \(\times\) \(\dfrac{5}{7}\) = \(\dfrac{10}{9}\)
y + \(\dfrac{3}{4}\) = \(\dfrac{10}{9}\) : \(\dfrac{5}{7}\)
y + \(\dfrac{3}{4}\) = \(\dfrac{14}{9}\)
y = \(\dfrac{14}{9}\) - \(\dfrac{3}{4}\)
y = \(\dfrac{29}{36}\)
e, y : \(\dfrac{5}{4}\) = \(\dfrac{9}{5}\) + \(\dfrac{1}{2}\)
y : \(\dfrac{5}{4}\) = \(\dfrac{23}{10}\)
y = \(\dfrac{23}{10}\)
y = \(\dfrac{23}{8}\)
f, y \(\times\) \(\dfrac{1}{2}\) + \(\dfrac{3}{2}\) \(\times\) y = \(\dfrac{4}{5}\)
y \(\times\) ( \(\dfrac{1}{2}+\dfrac{3}{2}\)) = \(\dfrac{4}{5}\)
2y = \(\dfrac{4}{5}\)
y = \(\dfrac{2}{5}\)
\(\left(y-2\right)\left(y-3\right)+\left(y-2\right)-1=0\)
\(\Leftrightarrow\left(y-2\right)\left(y-3\right)+\left(y-3\right)=0\)
\(\Leftrightarrow\left(y-3\right)^2=0\)
\(\Leftrightarrow y=3\)
\(x^3+27+\left(x+3\right)\left(x-9\right)=0\)
\(\Leftrightarrow\left(x+3\right)\left(x^2-3x+9\right)+\left(x+3\right)\left(x-9\right)=0\)
\(\Leftrightarrow\left(x+3\right)\left(x^2-3x+9+x-9\right)=0\)
\(\Leftrightarrow\left(x+3\right)\left(x^2-2x\right)=0\)
\(\Leftrightarrow\left(x+3\right)x\left(x-2\right)=0\)
\(\Leftrightarrow x\in\left\{0;-3;2\right\}\)
\(\left(\frac{2}{3}.y-\frac{4}{9}\right).\left[\frac{1}{2}+\left(-\frac{3}{7}\right):y\right]=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}\frac{2}{3}.y-\frac{4}{9}=0\\\frac{1}{2}+\left(-\frac{3}{7}\right):y=0\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=\frac{2}{3}\\x=\frac{6}{7}\end{array}\right.\)
Vậy x = \(\frac{2}{3};\frac{6}{7}\)
\(\left(\frac{2}{3}y-\frac{4}{9}\right)\left[\frac{1}{2}+\left(-\frac{3}{7}\right):y\right]=0\)
\(\Leftrightarrow\)\(\frac{6y-4}{3}\left(\frac{1}{2}-\frac{3}{7y}\right)=0\)
\(\Leftrightarrow\)\(\left[\begin{array}{nghiempt}\frac{6y-4}{3}=0\\\frac{1}{2}-\frac{3}{7y}=0\end{array}\right.\) \(\Leftrightarrow\left[\begin{array}{nghiempt}6y-4=0\\-\frac{3}{7y}=-\frac{1}{2}\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}y=\frac{2}{3}\\7y=6\end{array}\right.\) \(\Leftrightarrow\left[\begin{array}{nghiempt}y=\frac{2}{3}\\y=\frac{6}{7}\end{array}\right.\)