a) (x-3)³ + (x+1)³= 8(x-1)³
b)x⁴ - 4x² + 12x - 9 = 0)
c)x\(^5\)=x⁴ +x³ + x² + x + 2
b.
\(x^4-4x^2+12x-9=0\)
\(\Leftrightarrow x^4-x^3+x^3-x^2-3x^2+3x+9x-9=0\)
\(\Leftrightarrow\left(x^4-x^3\right)+\left(x^3-x^2\right)-\left(3x^2-3x\right)+\left(9x-9\right)=0\)
\(\Leftrightarrow x^3\left(x-1\right)+x^2\left(x-1\right)-3x\left(x-1\right)+9\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x^3+x^2-3x+9\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x^3+3x^2-2x^2-6x+3x+9\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+3\right)\left(x^2-2x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\x+3=0\\x^2-2x+3=0\left(loại\right)\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-3\end{matrix}\right.\)
Vậy=.
\(\left(x+2\right)^2+\left(x-1\right)\left(x+3\right)=2\left(x-4\right)\left(x+4\right)-3\)
Giúp mk với!!!
Giải các phương trình sau:
a) \(4x^4+12x^3+5x^2-6x-15=0\)
b) \(\left(x+1\right)\left(x+2\right)\left(x+4\right)\left(x+5\right)=40\)
giải pt: (x2-9)2=12x+1
a) \(\left(x+1\right)^2\left(x+2\right)+\left(x+1\right)^2\left(x-2\right)=-24\)
b) \(2x^3+3x^2+6x+5=0\)
Bài 1: Giải phương trình
a) (x+3)4 + (x+5)4 = 16
b) 6x4 + 25x3 + 12x - 25x+ 6= 0
c) 9x4 - 15x3 + 28x2 -20x+16 = 0
d) x4 + 7x2 - 12x+5 =0
e) x5= x4 + x3 + x2 + x+2
a) \(\left(x^2-4\right)\left(2x+3\right)=\left(x^2-4\right)\left(x-1\right)\)
b) \(\left(3x-7\right)^2-4\left(x+1\right)^2=0\)
(3x+1)(3x-1)=(2x-1)^2 + 5x(x-2)
giải phương trình
(x+1)4+(x+3)4=82
Giúp mk vs nha
0.4x\(^2\)- 4x- 1200 = 0
tìm m:
-20m2-280m+160=0
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