tìm x hộ mik nah
5-8x-x^2=0
giúp mik nah mai nộp bài rồi
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a/ \(2x^3=8x\)
\(2.8=2x^3\)
\(16=2x^3\)
\(x^3=16:2\)
\(x^3=8\)
\(x=2\)
phần b mk chưa nghiên cứu dc
a. 12xy2 - 8x2y = 4xy . (3y - 2x)
b. 3x + 3y - x2 - xy = (3x + 3y) - (x2 + xy) = 3 . (x + y) - x . (x + y) = (x + y)(3 - x)
1) \(x^2-2x+5+y^2-4y=0\)
\(\Leftrightarrow\left(x^2-2x+1\right)+\left(y^2-4y+4\right)=0\)
\(\Leftrightarrow\left(x-1\right)^2+\left(y-2\right)^2=0\)
Vì \(\left(x-1\right)^2\ge0;\left(y-2\right)^2\ge0\)
\(\Rightarrow\left(x-1\right)^2+\left(y-2\right)^2\ge0\)
Để PT bằng 0 thì:
\(\left(x-1\right)^2=0\)và \(\left(y-2\right)^2=0\)
\(\Rightarrow x=1\)và \(y=2\)
2) \(y^2+2y+5-12x+9x^2=0\)
\(\Leftrightarrow\left(y^2+2y+1\right)+\left(9x^2-12x+4\right)=0\)
\(\Leftrightarrow\left(y+1\right)^2+\left(3x-2\right)^2=0\)
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\(\left(y+1\right)^2=0\)và \(\left(3x-2\right)^2=0\)
\(\Rightarrow y=-1\)và \(x=\frac{2}{3}\)
3) \(x^2+20+9y^2+8x-12y=0\)
\(\Leftrightarrow\left(x^2+8x+16\right)+\left(9y^2-12y+4\right)=0\)
\(\Leftrightarrow\left(x+4\right)^2+\left(3y-2\right)^2=0\)
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\(\left(x+4\right)^2=0\)và \(\left(3y-2\right)^2=0\)
\(\Rightarrow x=-4\)và \(y=\frac{2}{3}\)
1) \(x^2-2x+5+y^2-4y=0\)
\(\Leftrightarrow\left(x^2-2x+1\right)+\left(y^2-4y+4\right)=0\)
\(\Leftrightarrow\left(x-1\right)^2+\left(y-2\right)^2=0\)
Vì \(\left(x-1\right)^2\ge0;\left(y-2\right)^2\ge0\)
\(\Rightarrow\left(x-1\right)^2+\left(y-2\right)^2\ge0\)
Để PT bằng 0 thì:
\(\left(x-1\right)^2=0\)và \(\left(y-2\right)^2=0\)
\(\Rightarrow x=1\)và \(y=2\)
2) \(y^2+2y+5-12x+9x^2=0\)
\(\Leftrightarrow\left(y^2+2y+1\right)+\left(9x^2-12x+4\right)=0\)
\(\Leftrightarrow\left(y+1\right)^2+\left(3x-2\right)^2=0\)
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\(\left(y+1\right)^2=0\)và \(\left(3x-2\right)^2=0\)
\(\Rightarrow y=-1\)và \(x=\frac{2}{3}\)
3) \(x^2+20+9y^2+8x-12y=0\)
\(\Leftrightarrow\left(x^2+8x+16\right)+\left(9y^2-12y+4\right)=0\)
\(\Leftrightarrow\left(x+4\right)^2+\left(3y-2\right)^2=0\)
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\(\left(x+4\right)^2=0\)và \(\left(3y-2\right)^2=0\)
\(\Rightarrow x=-4\)và \(y=\frac{2}{3}\)
\(\frac{121212}{161616}-\left(\frac{151515}{323232}-x\right)=2\)
=> \(\frac{3}{4}-\left(\frac{15}{32}-x\right)=2\)
=> \(\frac{15}{32}-x=\frac{3}{4}-2\)
=> \(\frac{15}{32}-x=-\frac{5}{4}\)
=> \(x=\frac{15}{32}-\frac{-5}{4}=\frac{15}{32}+\frac{5}{4}=\frac{55}{32}\)
b) \(\frac{x}{2}+\frac{x}{6}+\frac{x}{12}+\frac{x}{20}+\frac{x}{30}+\frac{x}{42}+\frac{x}{56}+\frac{x}{72}+\frac{x}{90}=\frac{9}{5}\)
=> \(\frac{x}{1\cdot2}+\frac{x}{2\cdot3}+\frac{x}{3\cdot4}+\frac{x}{4\cdot5}+\frac{x}{5\cdot6}+\frac{x}{6\cdot7}+\frac{x}{7\cdot8}+\frac{x}{8\cdot9}+\frac{x}{9\cdot10}=\frac{9}{5}\)
=> \(\frac{x}{1}-\frac{x}{2}+\frac{x}{2}-\frac{x}{3}+...+\frac{x}{9}-\frac{x}{10}=\frac{9}{5}\)
=> \(\frac{x}{1}-\frac{x}{10}=\frac{9}{5}\)
=> \(\frac{10x-x}{10}=\frac{9}{5}\)
=> \(\frac{9x}{10}=\frac{9}{5}\)
=> \(\frac{9x}{10}=\frac{9\cdot2}{5\cdot2}=\frac{18}{10}\)
=> x = 2
4a) \(\left(a+b\right)^2=a^2+2ab+b^2\)
\(\left(a-b\right)^2+4ab=a^2-2ab+b^2+4ab=a^2+b^2+2ab\)
=> (a+b)^2=(a-b)^2+4ab
(x – 3)(2x + 1) = 0
x = 3 hay x = -1/2
\(5,2.x+\left(3,2.x-1\right)=2\)
\(5,2.x+3,2x-1=2\)
\(5,2x+3,2x=3\)
\(8,4x=3\)
\(x=2,8\)
5,2*x+(3,2*x-1)=2
5,2*x+3,2*x-1=2
5,2*x+3,2*x=3
8.4*x=3
x=2.8
Bài 1:
a) \(x^2-6x+15=\left(x^2-6x+9\right)+6=\left(x-3\right)^2+6\ge6\)
Dấu "=" xảy ra \(\Leftrightarrow x=3\)
b) \(3x^2-15x+4=3\left(x^2-5x+\dfrac{25}{4}\right)-\dfrac{59}{4}=3\left(x-\dfrac{5}{2}\right)^2-\dfrac{59}{4}\ge-\dfrac{59}{4}\)
Dấu "=" xảy ra \(\Leftrightarrow x=\dfrac{5}{2}\)
Bài 2:
a) \(\Rightarrow\left(x-5\right)\left(x+5\right)+2\left(x+5\right)=0\)
\(\Rightarrow\left(x+5\right)\left(x-3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=-5\\x=3\end{matrix}\right.\)
c) \(\Rightarrow x^2\left(x-2\right)+7\left(x-2\right)=0\)
\(\Rightarrow\left(x-2\right)\left(x^2+7\right)=0\)
\(\Rightarrow x=2\left(do.x^2+7\ge7>0\right)\)
bam may tinh
hoac tính \(\Delta\)
roi ra x=-4+can(21)
x=-4-can(21)
Bai nay x thuoc rong