2x^2+5x+3=0
x^2+6x-16=0
Làm hộ mình cách 2 nhé
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a, (4x-3)(3x+2)-(6x+1)(2x-5)+1
=12x2-8x-9x+6-12x2+30x-2x+5+1
=11x+12
b, (3x+4)2+(4x-1)2+(2+5x)(2-5x)
=9x2+24x+16+16x2-8x+1+4-25x2
=16x+21
c, (2x+1)(4x22x+1)+(2-3x)(4+6x+9x2)-9
=8x3+1+8-27x3-9
=-19x3
b)x^3 - 6x^2 +11x-6=0
<=>x^3 - x^2 - 5x^2 +5x + 6x - 6=0
<=>x^2(x - 1) - 5x(x - 1) +6(x - 1)=0
<=>(x-1).(x^2 - 5x + 6)=0
<=>(x - 1).(x^2 - 2x - 3x + 6)=0
<=>(x - 1).[(x(x-2)-3(x-2)]=0
<=>(x-1)(x-2)(x-3)=0
<=>x-1=0hoac x-2=0 hoac x-3=0
<=>x=1hoac x=2 hoac x=3
c) \(x^3-9x^2+6x+16=x^3-8x^2-x^2+8x-2x+16\)
\(=x^2\left(x-8\right)-x\left(x-8\right)-2\left(x-8\right)=\left(x-8\right)\left(x^2-x-2\right)=\left(x-8\right)\left(x-2\right)\left(x+1\right)\)
d) \(2x^3+3x^2+3x+1=\left(2x+1\right)\left(x^2+x+1\right)\)
e) \(2x^3-5x^2+5x-3=\left(2x-3\right)\left(x^2-x+1\right)\)
+) (5x-1). (2x+3)-3. (3x-1)=0
10x^2+15x-2x-3 - 9x+3=0
10x^2 +8x=0
2x(5x+4)=0
=> x=0 hoặc x= -4/5
+) x^3 (2x-3)-x^2 (4x^2-6x+2)=0
2x^4 -3x^3 -4x^4 + 6x^3 - 2x^2=0
-2x^4 + 3x^3-2x^2=0
x^2(-2x^2+x-2)=0
-2x^2(x-1)^2=0
=> x=0 hoặc x=1
+) x (x-1)-x^2+2x=5
x^2 -x -x^2+2x=5
x=5
+) 8 (x-2)-2 (3x-4)=25
8x - 16-6x+8=25
2x=33
x=33/2
=> 2 [ \(P\left(x\right)+Q\left(x\right)+G\left(x\right)\)]= \(x^3+6x^2+5x-4+2x^2+5x^2-x-3-x^3+3x^2-6x+5=16x^2-2x-12\)
=>\(P\left(x\right)+Q\left(x\right)+G\left(x\right)=8x^2-x-6\)
=> \(G\left(x\right)=2x^2-x^3-6x-2\), \(P\left(x\right)=x^2-3\), \(Q\left(x\right)=x^3+5x^2+5x-1\)
đúng cái đi
a) 6x(3x +5)-2x(9x-2)=17
6x3x+6x5-2x9x-2x(-2)=17
\(18x^2\)+30x-\(18x^2\)+4x=17
\(18x^2-18x^2\)+ 34x=17
0 +34x=17
x=17:34
x=0.5
b)2x(3x-1)-3x(2x+11)-70=0
2x3x-2x1-3x2x+3x11-70=0
\(6x^2-2x-6x^2+33x-70=0\)
-2x+33x-70=0
31x-70=0
31x=0+70
31x=70
x=\(\frac{70}{31}\)
(trong câu c dấu . của mình là nhân nha)
c)5x(2x-3)-4(8-3x)=2(3+5x)
5x2x-5x3-4.8+4.3x=2.3+2.5x
\(10x^2-15x-32+12x=6+10x\)
\(10x^2-15x+12x-10x=6+32\)
\(10x^2-13x=38\)
tạm thời mình bí chổ này thông cảm nha bạn
C1: \(2x^2+5x+3=0\)
\(\Leftrightarrow\left(2x^2+2x\right)+\left(3x+3\right)=0\)
\(\Leftrightarrow2x\left(x+1\right)+3\left(x+1\right)=0\)
\(\Leftrightarrow\left(2x+3\right)\left(x+1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}2x+3=0\\x+1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{-3}{2}\\x=-1\end{cases}}\)
C2 : \(2x^2+5x+3=0\)
\(\Leftrightarrow2\left(x^2+\frac{5}{2}x+\frac{25}{16}\right)-\frac{1}{8}=0\)
\(\Leftrightarrow2\left(x+\frac{5}{4}\right)^2=\frac{1}{8}\)
\(\Leftrightarrow\left(x+\frac{5}{4}\right)^2=\frac{1}{16}\)
\(\Leftrightarrow\orbr{\begin{cases}x+\frac{5}{4}=\frac{1}{4}\\x+\frac{5}{4}=-\frac{1}{4}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=-\frac{3}{2}\end{cases}}\)
Vậy ...
C1 : \(x^2+6x-16=0\)
\(\Leftrightarrow\left(x^2-2x\right)+\left(8x-16\right)=0\)
\(\Leftrightarrow x\left(x-2\right)+8\left(x-2\right)=0\)
\(\Leftrightarrow\left(x+8\right)\left(x-2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+8=0\\x-2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-8\\x=2\end{cases}}\)
C2 : \(x^2+6x-16=0\)
\(\Leftrightarrow\left(x^2+6x+9\right)-25=0\)
\(\Leftrightarrow\left(x+3\right)^2-5^2=0\)
\(\Leftrightarrow\left(x+3+5\right)\left(x+3-5\right)=0\)
\(\Leftrightarrow\left(x+8\right)\left(x-2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+8=0\\x-2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-8\\x=2\end{cases}}\)
Vậy ...