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1.a) \(\Leftrightarrow\) 3x+10-2x =0
\(\Leftrightarrow\text{ 3x-2x=-10}\)
\(\Leftrightarrow x=-10\)
b) coi lại có thiếu ngoặc ko nhé
cứ nhân vào dấu ngoặc rồi làm như thường
a) \(\left(x-3\right).\left(x^2+3x+9\right)-x.\left(x+4\right)\left(x-4\right)=21\)
\(\Leftrightarrow x^3-27-x.\left(x^2-16\right)=21\) \(\Leftrightarrow x^3-27-x^3+16x=21\)
\(\Leftrightarrow16x=21+27\) \(\Leftrightarrow16x=48\) \(\Leftrightarrow x=3\)
b) \(\left(x+2\right)\left(x^2-2x+4\right)-x.\left(x^2+2\right)=4\)
\(\Leftrightarrow x^3+8-x^3-2x=4\) \(\Leftrightarrow-2x=4-8\) \(\Leftrightarrow-2x=-4\) \(\Leftrightarrow x=2\)
a, \(x^2-25-\left(x+5\right)=0\)
\(\Rightarrow x^2-5^2-\left(x+5\right)=0\)
\(\Rightarrow\left(x-5\right)\times\left(x+5\right)-\left(x+5\right)=0\)
\(\Rightarrow\left(x+5\right)\times\left(x-5-1\right)=0\)
\(\Rightarrow\left(x+5\right)\times\left(x-6\right)=0\)
\(\Rightarrow\hept{\begin{cases}x+5=0\\x-6=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=0-5=\left(-5\right)\\x=0+6=6\end{cases}}\)
b, \(\left(2x-1\right)^2-\left(4x^2-1\right)=0\)
\(\Rightarrow\left(2x-1\right)^2-\left(\left(2x\right)^2-1^2\right)=0\)
\(\Rightarrow\left(2x-1\right)^2-\left(2x-1\right)\times\left(2x+1\right)=0\)
\(\Rightarrow\left(2x-1\right)\times\left(2x-1-\left(2x+1\right)\right)=0\)
\(\Rightarrow\left(2x-1\right)\times\left(2x-1-2x-1\right)=0\)
\(\Rightarrow\left(2x-1\right)\times\left(-2\right)=0\)\(\Rightarrow\left(-4x\right)+2=0\)
\(\Rightarrow\left(-4x\right)=0-2=-2\)
\(\Rightarrow x=\frac{-2}{-4}=\frac{1}{2}\)
c, \(x^2\times\left(x^2+4\right)-x^2-4=0\)
\(\Rightarrow x^2\times\left(x^2+4\right)-\left(x^2+4\right)=0\)
\(\Rightarrow\left(x^2-1\right)\times\left(x^2+4\right)=0\)
\(\Rightarrow\hept{\begin{cases}x^2-1=0\\x^2+4=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x^2=1\\x^2=\left(-4\right)\end{cases}}\)
\(\Rightarrow x=1\)
\(64x^4+y^4\)
\(=64x^4+16x^2y^2+y^4-16x^2y^2\)
\(=\left(8x^2+y^2\right)^2-16x^2y^2\)
\(=\left(8x^2-4xy+y^2\right)\left(8x^2+4xy+y^2\right)\)
\(A=x^2-2x.\frac{3}{2}+\frac{9}{4}+\frac{11}{4}\)
\(A=\left(x-\frac{3}{2}\right)^2+\frac{11}{4}\ge\frac{11}{4}\)
MIN A=\(\frac{11}{4}\Leftrightarrow x=\frac{3}{2}\)
(2x-1)2-(3x+4)2=0
=> 2x-1=0 hoặc 3x+4=0
Xét :
2x-1=0
2x=0+1
2x=1
x=1:2
x=1/2
Xét :
3x+4=0
3x=-4
x=-4:3
x=-4/3
Vậy x=1/2 hoặc x=-4/3
\(\left(2x-1\right)^2-\left(3x+4\right)^2=0\)
\(\Rightarrow\left[\left(2x-1\right)-\left(3x+4\right)\right].\left[\left(2x-1\right)+\left(3x+4\right)\right]=0\)
\(\Rightarrow\left(2x-1-3x-4\right)\left(2x-1+3x+4\right)=0\)
\(\Rightarrow\left(-x-5\right)\left(5x+3\right)=0\)
\(\Rightarrow\orbr{\begin{cases}-x-5=0\\5x+3=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-5\\x=\frac{-3}{5}\end{cases}}\)