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b) \(2x=\left(3,8\right)^3:\left(-3,8\right)^3\)
\(\Rightarrow2x=-1\)
⇒ \(x=\left(-1\right):2\)
⇒ \(x=-\frac{1}{2}\)
Vậy \(x=-\frac{1}{2}.\)
Chúc bạn học tốt!
Trả lời :
a, x = (3,8)3 - (- 3,8)2
=> x = (3,8)3 - (3,8)2
=> x = (3,8)3 - 2
=> x = 3,8
Bài làm:
a) \(x=\left(3,8\right)^3\div\left(-3,8\right)^2\)
\(\Leftrightarrow x=\left(3,8\right)^3\div\left(3,8\right)^2\)
\(\Rightarrow x=3,8\)
b) đề sai sai ý bn
a)
\((3x-7)^5=0\Rightarrow 3x-7=0\Rightarrow x=\frac{7}{3}\)
b)
\(\frac{1}{4}-(2x-1)^2=0\)
\(\Leftrightarrow (2x-1)^2=\frac{1}{4}=(\frac{1}{2})^2=(-\frac{1}{2})^2\)
\(\Rightarrow \left[\begin{matrix} 2x-1=\frac{1}{2}\\ 2x-1=\frac{-1}{2}\end{matrix}\right.\Rightarrow \Rightarrow \left[\begin{matrix} x=\frac{3}{4}\\ x=\frac{1}{4}\end{matrix}\right.\)
c)
\(\frac{1}{16}-(5-x)^3=\frac{31}{64}\)
\(\Leftrightarrow (5-x)^3=\frac{1}{16}-\frac{31}{64}=\frac{-27}{64}=(\frac{-3}{4})^3\)
\(\Leftrightarrow 5-x=\frac{-3}{4}\)
\(\Leftrightarrow x=\frac{23}{4}\)
d)
\(2x=(3,8)^3:(-3,8)^2=(3,8)^3:(3,8)^2=3,8\)
\(\Rightarrow x=3,8:2=1,9\)
e)
\((\frac{27}{64})^9.x=(\frac{-3}{4})^{32}\)
\(\Leftrightarrow [(\frac{3}{4})^3]^9.x=(\frac{3}{4})^{32}\)
\(\Leftrightarrow (\frac{3}{4})^{27}.x=(\frac{3}{4})^{32}\)
\(\Leftrightarrow x=(\frac{3}{4})^{32}:(\frac{3}{4})^{27}=(\frac{3}{4})^5\)
f)
\(5^{(x+5)(x^2-4)}=1\)
\(\Leftrightarrow (x+5)(x^2-4)=0\)
\(\Leftrightarrow \left[\begin{matrix} x+5=0\\ x^2-4=0\end{matrix}\right.\Leftrightarrow \left[\begin{matrix} x+5=0\\ x^2=4=2^2=(-2)^2\end{matrix}\right.\)
\(\Rightarrow \left[\begin{matrix} x=-5\\ x=\pm 2\end{matrix}\right.\)
g)
\((x-2,5)^2=\frac{4}{9}=(\frac{2}{3})^2=(\frac{-2}{3})^2\)
\(\Rightarrow \left[\begin{matrix} x-2,5=\frac{2}{3}\\ x-2,5=\frac{-2}{3}\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=\frac{19}{6}\\ x=\frac{11}{6}\end{matrix}\right.\)
h)
\((2x+\frac{1}{3})^3=\frac{8}{27}=(\frac{2}{3})^3\)
\(\Rightarrow 2x+\frac{1}{3}=\frac{2}{3}\Rightarrow x=\frac{1}{6}\)
Lời giải:
\(M=x^3+x^2y-2x^2-xy-y^2+3y+x-1\)
\(=(x^3+x^2y-2x^2)-(xy+y^2-2y)+y+x-1\)
\(=x^2(x+y-2)-y(x+y-2)+(y+x-2)+1\)
\(=x^2.0-y.0+0+1=1\)
\(N=x^3-2x^2-xy^2+2xy+2y-2x-2\)
\(=(x^3-2x^2+x^2y)-(x^2y+xy^2-2xy)+2y+2x-4-4x+2\)
\(=x^2(x-2+y)-xy(x+y-2)+2(y+x-2)-4x+2\)
\(=x^2.0-xy.0+2.0-4x+2=2-4x\) (không tính được giá trị cụ thể, bạn thử xem lại đề)
\(P=(x^4+x^3y-2x^3)+(x^3y+x^2y^2-2x^2y)-x(x+y-2)\)
\(=x^3(x+y-2)+x^2y(x+y-2)-x(x+y-2)\)
\(=x^3.0+x^2y.0-x.0=0\)
(2x2 +2x-4)-(-x+x3 - 2x2 -4)
=2x2+2x-4+x-x3+2x2+4
=(2x2+2x2)+(2x+x)+(-4+4)-x3
=4x2+3x-x3
(-x+ x3 - 2x2 -4) - (2x2 - 2x -4)
=-x+x3-2x2-4-2x2+2x+4
=(-x+2x)+(-2x2-2x2)+(-4+4)+x3
=x-4x2+x3
Ta có : \(\left(2x^2+2x-4\right)-\left(-x+x^3-2x^2-4\right)\)
\(=2x^2+2x-4+x-x^3+2x^2+4=4x^2+3x\)
\(\left(-x+x^3-2x^2-4\right)-\left(2x^2-2x-4\right)\)
\(=-x+x^3-2x^2-4-2x^2+2x+4=x+x^3-4x^2\)
\(2\frac{19}{5}\)