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a) 9x2 - 1 = (3x + 1)(2x - 3)
=> 9x2 - 1 = 6x2 - 9x + 2x - 3
=> 9x2 - 6x2 + 7x - 1 + 3 = 0
=> 3x2 + 7x + 2 = 0
=> 3x2 + 6x + x + 2 = 0
=> 3x(x + 2) + (x + 2) = 0
=> (3x + 1)(x + 2) = 0
=>\(\orbr{\begin{cases}3x+1=0\\x+2=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=-\frac{1}{3}\\x=-2\end{cases}}\)
b) 2(9x2 + 6x + 1) = (3x + 1)(x - 2)
=> 2(3x + 1)2 - (3x + 1)(x - 2) = 0
=> (3x + 1)(6x + 2 - x + 2) = 0
=> (3x + 1)(5x +4 ) = 0
=> \(\orbr{\begin{cases}3x+1=0\\5x+4=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=-\frac{1}{3}\\x=-\frac{4}{5}\end{cases}}\)
c) 27x2(x + 3) - 12(x2 + 3x) = 0
=> 27x2(x + 3) - 12x(x + 3) = 0
=> 3x(9x - 4)(x + 3) = 0
=> 3x = 0
9x - 4 = 0
x + 3 = 0
=> x = 0
x = 4/9
x = -3
d) 16x2 - 8x + 1 = 4(x + 3)(4x - 1)
=> (4x - 1)2 - 4(x + 3)(4x - 1) = 0
=> (4x - 1)(4x - 1 - 4x - 12) = 0
=> 4x - 1 = 0
=> x = 1/4
bài 2
P= (x+1)(x2-x+1)+x-(x-1)(x2+x+1)+2010 với x = -2010
= (x3+1) + x - (x3-1) + 2010
= x3 + 1 + x - x3 + 1 + 2010
= x + 2 + 2010
= 2010 + 2 + 2010
=4022
Q=16x(4x2-5)-(4x+1)(16x2-4x + 1) với x = 1/5
= (4x)3-16.5x - [(4x)3+1]
= (4x)3 - 16.5x - (4x)3 - 1
= -16.5x - 1
= -16.5.1/5 - 1
= -16-1
=-17
a) (x-3)(x2+3x+9)-x(x-4)(x+4)=41
<=> x3 - 33 - x(x2 - 42) = 41
<=> x3 - 27 - x3 + 16x = 41
<=> 16x = 68
<=> x= 4,25
b) (x+2)(x2-2x+4)-x(x2+2)=4
<=> x3 + 23 - x3 - 2x =4
<=> 8 - 2x = 4
<=> 2x = 4
<=> x= 1/2
Copy có khác, ko đọc đc j!!! ʌl
Câu 3:
1)
a) Ta có: 3x−2=2x−33x−2=2x−3
⇔3x−2−2x+3=0⇔3x−2−2x+3=0
⇔x+1=0⇔x+1=0
hay x=-1
Vậy: x=-1
b) Ta có: 3−4y+24+6y=y+27+3y3−4y+24+6y=y+27+3y
⇔27+2y=27+4y⇔27+2y=27+4y
⇔27+2y−27−4y=0⇔27+2y−27−4y=0
⇔−2y=0⇔−2y=0
hay y=0
Vậy: y=0
c) Ta có: 7−2x=22−3x7−2x=22−3x
⇔7−2x−22+3x=0⇔7−2x−22+3x=0
⇔−15+x=0⇔−15+x=0
hay x=15
Vậy: x=15
d) Ta có: 8x−3=5x+128x−3=5x+12
⇔8x−3−5x−12=0⇔8x−3−5x−12=0
⇔3x−15=0⇔3x−15=0
⇔3(x−5)=0⇔3(x−5)=0
Vì 3≠0
nên x-5=0
hay x=5
Vậy: x=5
a) 3x - 2 = 2x - 3
\(\Leftrightarrow\) 3x - 2 - 2x + 3 = 0
\(\Leftrightarrow\) x + 1 = 0
\(\Rightarrow\) x = -1
b) 3 - 4y + 24 + 6y = y + 27 + 3y
\(\Leftrightarrow\) 3 - 4y + 24 + 6y - y - 27 - 3y = 0
\(\Leftrightarrow\) -2y = 0
\(\Rightarrow\) y = 0
c)7 - 2x = 22 - 3x
\(\Leftrightarrow\) 7 - 2x - 22 + 3x = 0
\(\Leftrightarrow\) -15 + x = 0
\(\Rightarrow\) x = 15
d) 8x - 3 = 5x + 12
\(\Leftrightarrow\) 8x - 3 - 5x - 12 = 0
\(\Leftrightarrow\)3x -15 = 0
\(\Leftrightarrow\) 3x = 15
\(\Rightarrow\) x = 5
e) x - 12 + 4x = 25 + 2x - 1
\(\Leftrightarrow\) x - 12 + 4x - 25 - 2x + 1 = 0
\(\Leftrightarrow\) 3x - 36 = 0
\(\Leftrightarrow\) 3x = 36
\(\Rightarrow\) x = 12
f ) x + 2x + 3x - 19 = 3x + 5
\(\Leftrightarrow\) x + 2x + 3x - 19 - 3x - 5 = 0
\(\Leftrightarrow\)3x - 24 = 0
\(\Leftrightarrow\) 3x = 24
\(\Rightarrow\) x = 8
g) 11+ 8x - 3 = 5x - 3 +x
\(\Leftrightarrow\)8x + 8 = 6x - 3
\(\Leftrightarrow\)8x - 6x = -3 - 8
\(\Leftrightarrow\)2x = -11
\(\Rightarrow\)x = \(-\frac{11}{2}\)
h) 4 - 2x +15 = 9x + 4 -2
\(\Leftrightarrow\)19 - 2x = 7x + 4
\(\Leftrightarrow\)-2x - 7x = 4 - 19
\(\Leftrightarrow\)-9x = -15
\(\Rightarrow\)x = \(\frac{15}{9}\) = \(\frac{5}{3}\)
Tìm x
b) 16x - 5x2 - 3 = 0
\(\Leftrightarrow\) 5x2 - 16x + 3 = 0
\(\Leftrightarrow\) 5x2 - 15x - x + 3 = 0
\(\Leftrightarrow\) ( 5x2 - 15x ) - ( x - 3 ) = 0
\(\Leftrightarrow\) 5x ( x - 3 ) - ( x- 3 ) = 0
\(\Leftrightarrow\) ( x - 3 ) ( 5x - 1 ) = 0
\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\5x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{1}{5}\end{matrix}\right.\)
Vậy phương trình có nghiệm x = 3 hoặc x = \(\dfrac{1}{5}\)
chắc bn nảy hỏi lun cả bài tâp về nhà quá, làm km 1 câu
a) = a+a+a + a +a +1 -a -a -a = a(a+a+1) +(a+a+1) - a(a+a+1)= (a+a+1)(a-a+1)
tự bn thêm mũ 4;3;2 vào được là bn làm dc cac câu sau
bài 1
a)\(x^2+5x+6=\left(x+2\right)\left(x+3\right)=0\Leftrightarrow\orbr{\begin{cases}x+3=0\\x+2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-3\\x=-2\end{cases}}}\)