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a) 3x(x + 2) + 4x(-2x + 3) + (2x - 3)(3x + 1)
= 3x2 + 6x - 8x2 + 12x + 6x2 + 2x - 9x - 3
= (3x2 - 8x2 + 6x2) + (6x + 12x + 2x - 9x) - 3
= x3 + 11x - 3
b) (x2 + 1)(x2 - x + 2) - (x2 - 1)(x2 + x - 2)
= x4 - x3 + 3x2 - x + 2 - x4 - x3 + 3x2 + x - 2
= (x4 - x4) + (-x3 - x3) + (3x2 + 3x2) + (-x + x) + (2 - 2)
= -2x3 + 6x2
c) (-2x - 3)2 + (3x + 2)2 + (4x + 1)
= 4x2 + 12x + 9 + 9x2 + 12x + 4 + 4x + 1
= (4x2 + 9x2) + (12x + 12x + 4x) + (9 + 4 + 1)
= 13x2 + 28x + 14
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a , x^2 - 2x - (3x^2 - 5x + 4) + (2x^2 - 3x + 7)
= x^2 - 2x - 3x^2 + 5x - 4 + 2x^2 - 3x + 7
= (x^2 - 3x^2 + 2x^2) + (-2x + 5x - 3x) + (-4 + 7)
= 3
Vậy GTBT ko phụ thuộc vào biến
b, (2x^3 - 4x^2 + x - 1) - (5 - x^2 + 2x^3) + 3x^2 - x
= 2x^3 - 4x^2 + x - 1 - 5 + x^2 - 2x^3 + 3x^2 - x
= (2x^3 - 2x^3) + (-4x^2 + x^2 + 3x^2 ) + (x - x) + (-1 - 5)
= -6
Vậy GTBT ko phụ thuộc vào biến
a) x2 -2x -( 3x2 -5x +4 )+(2x2 - 3x +7 )
= x2 -2x - 3x2 + 5x - 4 + 2x2 - 3x +7
= 3
Vậy biểu thức không phụ thuộc vào biến.
b) ( 2x3 -4x2 +x - 1)- (5 - x2 +2x3 ) +3x2 - x
= 2x3 -4x2 +x - 1 - 5 + x2 - 2x3 +3x2 - x
= -1 - 5 = -6
Vậy biểu thức không phụ thuộc vào biến x
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Câu 1:
a, Đặt (x-1).(3x+2)=0
=>\(\left\{{}\begin{matrix}x-1=0\\3x+2=0\end{matrix}\right.\)<=>\(\left\{{}\begin{matrix}x=0+1\\3x=0-2\end{matrix}\right.\)<=>\(\left\{{}\begin{matrix}x=1\\3x=-2\end{matrix}\right.\)<=>\(\left\{{}\begin{matrix}x=1\\x=\dfrac{-2}{3}\end{matrix}\right.\)
Vậy x\(\in\){1;\(\dfrac{-2}{3}\)} là nghiệm của đa thức (x-1).(3x+2)
b,Đặt 2x2-3x =0
=> x.(2x-3)=0
=>\(\left\{{}\begin{matrix}x=0\\2x-3=0\end{matrix}\right.\)<=>\(\left\{{}\begin{matrix}x=0\\2x=3\end{matrix}\right.\)<=>\(\left\{{}\begin{matrix}x=0\\x=\dfrac{3}{2}\end{matrix}\right.\)
Vậy x\(\in\){0;\(\dfrac{3}{2}\)} là nghiệm của đa thức 2x2-3x
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a) Đặt \(f_{\left(x\right)}=0\)
\(\Leftrightarrow x^3+3x^2-2x-2=0\)
\(\Leftrightarrow x^3-x^2+4x^2-4x+2x-2=0\)
\(\Leftrightarrow x^2\left(x-1\right)+4x\left(x-1\right)+2\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x^2+4x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\x^2+4x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x^2+4x+4-2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\\left(x+2\right)^2=2\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x+2=\sqrt{2}\\x+2=-\sqrt{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\sqrt{2}-2\\x=-\sqrt{2}-2\end{matrix}\right.\)
Vậy: \(S=\left\{1;\sqrt{2}-2;-\sqrt{2}-2\right\}\)
b) Đặt \(G_{\left(x\right)}=0\)
\(\Leftrightarrow3x+1=0\)
\(\Leftrightarrow3x=-1\)
hay \(x=\frac{-1}{3}\)
Vậy: \(S=\left\{-\frac{1}{3}\right\}\)
c) Đặt \(A_{\left(x\right)}=0\)
\(\Leftrightarrow2x^2-4=0\)
\(\Leftrightarrow2x^2=4\)
\(\Leftrightarrow x^2=2\)
\(\Leftrightarrow x=\pm\sqrt{2}\)
Vậy: \(S=\left\{\sqrt{2};-\sqrt{2}\right\}\)
d) Đặt \(h_{\left(x\right)}=0\)
\(\Leftrightarrow2x^2+3x-5=0\)
\(\Leftrightarrow2x^2+5x-2x-5=0\)
\(\Leftrightarrow x\left(2x+5\right)-\left(2x+5\right)=0\)
\(\Leftrightarrow\left(2x+5\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+5=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=-5\\x=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\frac{-5}{2}\\x=1\end{matrix}\right.\)
Vậy: \(S=\left\{\frac{-5}{2};1\right\}\)
e) Đặt P=0
\(\Leftrightarrow3x^2+4x^2+6x+3=0\)
\(\Leftrightarrow7x^2+6x+3=0\)
\(\Leftrightarrow7\left(x^2+\frac{6}{7}x+\frac{3}{7}\right)=0\)
mà 7>0
nên \(x^2+\frac{6}{7}x+\frac{3}{7}=0\)
\(\Leftrightarrow x^2+2\cdot x\cdot\frac{6}{14}+\frac{9}{49}+\frac{12}{49}=0\)
\(\Leftrightarrow\left(x+\frac{3}{7}\right)^2=-\frac{12}{49}\)(vô lý)
Vậy: S=∅
2x2=3x
=>2x=3(chia 2 vế cho x)
=>x=3/2
x bang 0 hoac 3/2 nha bn