cho p=2x^2-8/x-2 tim x
choP=(1/(x-2)-x^2/(8-x^3)*(x^2+2x+4)/(x+2)0/1/(x^2-4) tim DKXD va rut gon b tim Min p c tim x nguyen de p chia het cho x^2+1
Cho:
Q=(\(\dfrac{2x-x^2}{2x^2+8}\)-\(\dfrac{2x^2}{x^3-2x^2+4x-8}\)).(\(\dfrac{2}{x^2}\)+\(\dfrac{1-x}{x}\))
a, Tim dieu kien xac dinh
b, rut on q
c, Tinh Q khi x=2017
d, Tim x thuoc Z de Q thuoc Z
GIUP MINH VOI CAN GAP LAM!!!
Tim nghiem da thucf(x)= 2x^2+x-6 va da thuc g(x)=-x^2+2x+8
P(x)=2x^5+2x+8-3x^2-2x^5+2x^3-4x^4 tim bậc của p(x)
`P(x)=2x^5+2x+8-3x^2-2x^5+2x^3-4x^4 `
`= (2x^5 -2x^5) -4x^4 +2x^3 -3x^2 +2x +8`
`= -4x^4 +2x^3 -3x^2 +2x +8`
Bậc của `P(x)=10`
Tim x : 4 x (x+1) ^ 2 + (2x -1)^2 - 8 x (x-1) x (x+1)=11
phan tich da thuc thanh nhan tu; x4-2x2-8
ap dung tim x biet (x4-2x2-8):(x-2)=0
\(x^4-2x^2+8=x^4+2x^2-4x^2+8=\left(x^2-4\right)\left(x^2+2\right)=\left(x-2\right)\left(x+2\right)\left(x^2+2\right)\)\(\left(x^4-2x^2-8\right):\left(x-2\right)=\left(x+2\right)\left(x^2+2\right)=0\)
\(\Rightarrow x=-2\)
Tim so nguyen x biet : -x/2+2x/3+x+1/4+2x+1/6=3/8
12x/6 + 4x/6 - 3x/6 = 3/8 - 1/4 - 1/6
13x/6 = (9 - 6 - 4)/24 = -1/24
--> x = -1/52
tim x
a)(2-x)^6=(2-x)^8
b)2+4+6+.......+2x=210
(2-x)^6=(2-x)^8
=>x thuộc tập hợp rỗng
tim x
a) 4(2x+7)^2-9(x+3)^2=0
b) (5x^2-2x+10)^2=(3x^2+10x -8 )^2
c) (x-3)^2-4=0
d) x ^2-2x=24
a: Ta có: \(4\left(2x+7\right)^2-9\left(x+3\right)^2=0\)
\(\Leftrightarrow\left(4x+14-3x-9\right)\left(4x+14+3x+9\right)=0\)
\(\Leftrightarrow\left(x+5\right)\left(7x+23\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=-\dfrac{23}{7}\end{matrix}\right.\)
c: Ta có: \(\left(x-3\right)^2-4=0\)
\(\Leftrightarrow\left(x-5\right)\cdot\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=1\end{matrix}\right.\)
b.
PT $\Leftrightarrow (5x^2-2x+10)^2-(3x^2+10x-8)^2=0$
$\Leftrightarrow (5x^2-2x+10-3x^2-10x+8)(5x^2-2x+10+3x^2+10x-8)=0$
$\Leftrightarrow (2x^2-12x+18)(8x^2+8x+2)=0$
$\Leftrightarrow (x^2-6x+9)(4x^2+4x+1)=0$
$\Leftrightarrow (x-3)^2(2x+1)^2=0$
$\Leftrightarrow (x-3)(2x+1)=0$
$\Leftrightarrow x-3=0$ hoặc $2x+1=0$
$\Leftrightarrow x=3$ hoặc $x=-\frac{1}{2}$
d.
$x^2-2x=24$
$\Leftrightarrow x^2-2x-24=0$
$\Leftrightarrow (x+4)(x-6)=0$
$\Leftrightarrow x+4=0$ hoặc $x-6=0$
$\Leftrightarrow x=-4$ hoặc $x=6$