c) x3 – x2 – 25x + 25 = 0
b) x3 – 5x2 – x + 5 = 0.
c) x3 – x2 – 25x + 25 = 0
d) 4x3 – 8x2 – 9x + 18 = 0.
b: \(\Leftrightarrow\left(x-5\right)\left(x+1\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=1\\x=-1\end{matrix}\right.\)
c: \(\Leftrightarrow\left(x-1\right)\left(x-5\right)\left(x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=5\\x=-5\end{matrix}\right.\)
Tìm x biết:
a. x3 – 25x = 0 b. 3x(x- 2) – x + 2 = 0
c. x2 – 4x - 5 = 0 d.x3 – x2 + 3x – 3 = 0
e. x3 + 27 + ( x + 3)( x – 9) = 0
a: \(\Leftrightarrow x\left(x-5\right)\left(x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=5\\x=-5\end{matrix}\right.\)
a) x3 - 25x b) x2 – xy - 5x + 5y c) x2 – 3x – 10 d) x2 + 2xy - x - y + y2 - 12
Câu II (2,0 điểm) Phân tích các đa thức sau thành nhân tử:
a) x2 – 3x + xy – 3y
b) x3 + 10x2 + 25x – xy2
c) x3 + 2 + 3(x3 – 2)
a) Ta có: \(x^2-3x+xy-3y\)
\(=x\left(x-3\right)+y\left(x-3\right)\)
\(=\left(x-3\right)\left(x+y\right)\)
b) Ta có: \(x^3+10x^2+25x-xy^2\)
\(=x\left(x^2+10x+25-y^2\right)\)
\(=x\left(x+5-y\right)\left(x+5+y\right)\)
c) Ta có: \(x^3+2+3\left(x^3-2\right)\)
\(=4x^3-4\)
\(=4\left(x-1\right)\left(x^2+x+1\right)\)
Tìm x, biết:
a) 3x(x - 1) + x - 1 = 0;
b) (x - 2)( x 2 + 2x + 7) + 2( x 2 - 4) - 5(x - 2) = 0;
c) ( 2 x - 1 ) 2 - 25 = 0;
d) x 3 + 27 + (x + 3)(x - 9) = 0.
a) x = 1; x = - 1 3 b) x = 2.
c) x = 3; x = -2. d) x = -3; x = 0; x = 2.
tìm nghiệm các đa thứ rau
a)k(x)=x(x+5)
b)k(x)=x(2x-5)(x+3)
c)k(x)=x(x2+4)(2x+1)
d)G(x)=x2-9
e)G(x)=x3-25x
a: K(x)=0
=>x=0 hoặc x+5=0
=>x=0 hoặc x=-5
b: K(x)=0
=>x(2x-5)(x+3)=0
=>x=0 hoặc 2x-5=0 hoặc x+3=0
=>x=0;x=5/2;x=-3
c: K(x)=0
=>x(x^2+4)(2x+1)=0
=>x(2x+1)=0
=>x=0 hoặc x=-1/2
d: G(x)=0
=>(x-3)(x+3)=0
=>x=3 hoặc x=-3
e: G(x)=0
=>x(x^2-25)=0
=>x(x-5)(x+5)=0
=>x=0;x=5;x=-5
a) x2(x - 5) + 5 - x = 0; b) 3x4 - 9x3 = -9x2 + 27x;
c) x2(x + 8) + x2 = -8x; d) (x + 3)(x2 -3x + 5) = x2 + 3x.
e) 3x(x - 1) + x - 1 = 0;
f) (x - 2)(x2 + 2x + 7) + 2(x2 - 4) - 5(x - 2) = 0;
g) (2x - 1)2 - 25 = 0;
h) x3 + 27 + (x + 3)(x - 9) = 0.
i)8x3 - 50x = 0; k) 2(x + 3)-x2 - 3x = 0;
m)6x2 - 15x - (2x - 5)(2x + 5) =
a: \(\Leftrightarrow\left(x-5\right)\left(x+1\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-1\\x=1\end{matrix}\right.\)
d: \(\Leftrightarrow\left(x+3\right)\left(x^2-4x+5\right)=0\)
\(\Leftrightarrow x+3=0\)
hay x=-3
Tìm x:
a) x2+9x=0
b) (x+4)2-16=0
c) x3-16x=0
d) x2-10x+25=0
\(a,\Leftrightarrow x\left(x+9\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-9\end{matrix}\right.\\ b,\Leftrightarrow\left(x+4-4\right)\left(x+4+4\right)=0\\ \Leftrightarrow x\left(x+8\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-8\end{matrix}\right.\\ c,\Leftrightarrow x\left(x-4\right)\left(x+4\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=4\\x=-4\end{matrix}\right.\\ d,\Leftrightarrow\left(x-5\right)^2=0\Leftrightarrow x=5\)
a) \(\Leftrightarrow x\left(x+9\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=-9\end{matrix}\right.\)
b) \(\Leftrightarrow x\left(x+8\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=-8\end{matrix}\right.\)
c) \(\Leftrightarrow x\left(x-4\right)\left(x+4\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=4\\x=-4\end{matrix}\right.\)
d) \(\Leftrightarrow\left(x-5\right)^2=0\\ \Leftrightarrow x=5\)
Tìm x biết :
a, (x-2).(x2 +2x +7) +2.( x2-4) -5 .(x-2) =0
b, 4x2 -25 -(2x-5) .(2x+7) =0
c, x3 +27 + (x+3) .(x-9)=0