g) 3/x-5 = -4/x+2
giải giúp với
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A. x = 2
B. \(\dfrac{3}{8}=\dfrac{6}{x}\)\(\Leftrightarrow x=\dfrac{6.8}{3}=16\)
C. x = 3
D. \(x=\dfrac{4.6}{8}=3\)
E. \(x=\dfrac{7}{3}\)
G.\(\dfrac{14}{13}=\dfrac{28}{10-x}\)
<=>\(14\left(10-x\right)=364\)
<=> 10 - x = 26
<=> x = -16
H. \(3\left(x+2\right)=4\left(x-5\right)\)
<=> 3x + 6 = 4x - 20
<=> -x = -26
<=> x = 26
K. \(\dfrac{x}{2}=\dfrac{8}{x}\)
<=> \(x^2=16\)
<=> \(\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\)
M. \(\left(x-2\right)^2=100\)
<=> \(\left[{}\begin{matrix}x-2=10\\x-2=-10\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-8\end{matrix}\right.\)
a=2
b=16
c=3
d=3
mik chỉ biết thế này thôi(ko chắc đúng=3)
f(x)-g(x)=(x3+4x2-3x+2)+(x2-(x+4)+x-5)
=x3+4x2-3x+2+x2-x-4+x-5
=x3+5x2-3x-7=0
Dua vao luoc do hoc le
ta co
(x+1)(x2+4x-7)=0
=> x+1=0
x=1
dựa vào biệt thức ta có
D=b2-4ac
hay 42-(-4(1.7)=16+28=44
nghiệm
\(\frac{-b+\left(-\right)\sqrt{D}}{2a}=\frac{-4+\left(-\right)\sqrt{44}}{2}=\sqrt{11-2}\)
hoặc \(\sqrt[-]{11}-2\)
vậy x=-1; x=\(\sqrt{11}-2\);x=\(\sqrt[-]{11-2}\)là các nghiệm của đa thức trên
nếu ko hiểu thì cũng ko sao đâu nhưng đây là kết quả đúng đấy
\(a.\left(x-2\right)^2-\left(x+3\right)^2-4\left(x+1\right)=5\)
\(\left(x^2-4x+4\right)-\left(x^2+6x+9\right)-4x-4=5\)
\(\left(-4x-6x\right)+\left(4-9\right)-4x-4=5\)
\(-10x-5-4x-4=5\)
\(-14x-9=5\)
\(-14x=14\Rightarrow x=-1\)
\(b.\left(2x-3\right)\left(2x+3\right)-\left(x-1\right)^2-3x\left(x-5\right)=-44\)
\(4x^2-9-\left(x^2-2x+1\right)-\left(3x^2-15x\right)=-44\)
\(4x^2-9-x^2+2x-1-3x^2+15x=-44\)
\(17x-10=-44\)
\(17x=-34\Rightarrow x=-2\)
\(c.\left(5x+1\right)^2-\left(5x-3\right)\left(5x+3\right)=30\)
\(25x^2+10x+1-\left(25x^2-9\right)=30\)
\(10x+10=30\)
\(10x=20\Rightarrow x=2\)
\(d.\left(x+3\right)^2+\left(x-2\right)\left(x+2\right)-2\left(x-1\right)^2=7\)
\(\left(x^2+6x+9\right)+\left(x^2-4\right)-2\left(x^2-2x+1\right)=7\)
\(2x^2+6x+5-2x^2+4x-2=7\)
\(10x+3=7\)
\(10x=4\Rightarrow x=\frac{4}{10}=\frac25\)
\(f.\left(3x-8\right)^2=0\)
\(3x-8=0\Rightarrow x=\frac83\)
\(e.6\left(x+1\right)^2-2\left(x+1\right)+2\left(x-1\right)\left(x^2+x+1\right)=0\)
\(6\left(x^2+2x+1\right)-2x-2+2\left(x^3-1\right)=0\)
\(6x^2+12x+6-2x-2+2x^3-2=0\)
\(2x^3+6x^2+10x+2=0\)
\(\Rightarrow x\approx-0,23\)
a: (3x-2)(4x+5)=0
=>3x-2=0 hoặc 4x+5=0
=>x=2/3 hoặc x=-5/4
b: (2,3x-6,9)(0,1x+2)=0
=>2,3x-6,9=0 hoặc 0,1x+2=0
=>x=3 hoặc x=-20
c: =>(x-3)(2x+5)=0
=>x-3=0 hoặc 2x+5=0
=>x=3 hoặc x=-5/2
|7 - \(\dfrac{3}{4}\)\(x\)| - \(\dfrac{3}{2}\) = \(\dfrac{1}{\dfrac{1}{2}}\)
|7 - \(\dfrac{3}{4}x\)| - \(\dfrac{3}{2}\) = 2
|7 - \(\dfrac{3}{4}\)\(x\)| = 2 + \(\dfrac{3}{2}\)
|7 - \(\dfrac{3}{4}x\)| = \(\dfrac{7}{2}\)
\(\left[{}\begin{matrix}7-\dfrac{3}{4}x=\dfrac{7}{2}\\7-\dfrac{3}{4}x=-\dfrac{7}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x=7-\dfrac{7}{2}\\\dfrac{3}{4}=7+\dfrac{7}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x=\dfrac{7}{2}\\\dfrac{3}{4}x=\dfrac{21}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\dfrac{14}{3}\\x=14\end{matrix}\right.\)
5 - |\(x-3\)| = 5
|\(x-3\)| = 5 - 5
|\(x-3\)| = 0
\(x-3\) = 0
\(x\) = 3
-x + 5 + 2x = 4 - x
-1x + 5 + 2x = 4 - x
x( - 1 + 2 ) + 5 = 4 - x
x + 5 = 4 - x
=> x + 5 - 4 + x = 0
2x + ( 5 - 4 ) = 0
2x + 1 = 0
2x = 1
x = 1/2
Đề:
`=> x^2 + 3x + 5x + 15 = 2x + 8 + x^2 + 4x`
`=> x^2 + 8x + 15 = x^2 + 6x + 8`
`=> x^2 - x^2 + 8x - 6x + 15 - 8 = 0`
`=> 2x + 7 = 0`
`=> 2x = -7`
`=> x = -7/2`
Vậy `x = -7/2`
\(\dfrac{3}{x}-5=-\dfrac{4}{x}+2\)
\(\dfrac{3}{x}-\left(-\dfrac{4}{x}\right)=2+5\)
\(\dfrac{3}{x}+\dfrac{4}{x}=7\)
\(\dfrac{1}{x}.\left(3+4\right)=7\)
\(\dfrac{1}{x}.7=7\)
\(\dfrac{1}{x}=7:7=1\)
\(\Rightarrow x=1\)
`3/x -5 = -4/x +2(đk : x ne 0)`
`3/x +4/x = 2+5`
`7/x = 7`
`x =7/7=1(t//m)`
Vậy `x=1`