a,(x-1/2)(2x+5)=0
b,15-7x=9-3x
giải giúp mik vs
đừng lm tắt nhé.mik cảm ơn
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a) = 8x-6x-20+15x-15-6x+55-22x-30x+75
b)3x3+5x2-6x2+10x+9x-15-2x3+7x2+2x2+7x-2x-7
bạn chỉ cần chép lại đầu bài rồi ghi kết quả này vào là xong nhá bởi vì đây là nhân đa thức với đa thức mà
\(6\cdot x+9=15\)
\(\Rightarrow6\cdot x=15-9\)
\(\Rightarrow6\cdot x=6\)
\(\Rightarrow x=\dfrac{6}{6}=1\)
_______________
\(43+2x=49\)
\(\Rightarrow2x=49-43\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=\dfrac{6}{2}=3\)
____________
\(x:2+5=11\)
\(\Rightarrow x:2=11-5\)
\(\Rightarrow x:2=6\)
\(\Rightarrow x=6\cdot2=12\)
______________
\(77-11x=0\)
\(\Rightarrow11x=77\)
\(\Rightarrow x=\dfrac{77}{11}\)
\(\Rightarrow x=7\)
_______________
\(12-4:x=8\)
\(\Rightarrow4:x=12-8\)
\(\Rightarrow4:x=4\)
\(\Rightarrow x=\dfrac{4}{4}=1\)
_____________
\(x:3+8=11\)
\(\Rightarrow x:3=11-8\)
\(\Rightarrow x:3=3\)
\(\Rightarrow x=3\cdot3=9\)
a: 6x+9=15
=>6x=6
=>x=1
b: 2x+43=49
=>2x=6
=>x=3
c: x:2+5=11
=>x:2=6
=>x=12
d: 77-11x=0
=>7-x=0
=>x=7
e: 12-4:x=8
=>4:x=4
=>x=1
f: x:3+8=11
=>x:3=3
=>x=9
1) \(2x\cdot\left(x-3\right)-5=3x\left(2x-5\right)-4x^2+40\)
\(\Leftrightarrow2x^2-6x-5=6x^2-15x-4x^2+40\)
\(\Leftrightarrow2x^2-6x-5=2x^2-15x+40\)
\(\Leftrightarrow2x^2-6x-5-2x^2+15x-40=0\)
\(\Leftrightarrow9x-45=0\)
<=> x=5
2) x(2x-1)-5(-7)2=2x2-2x+5
<=> 2x2-x-5.49=2x2-2x+5
<=> 2x2-x-245-2x2+2x-5=0
<=> x-250=0
<=> x=250
3) |a-2|=10
\(\Leftrightarrow\orbr{\begin{cases}x-2=10\\x-2=-10\end{cases}\Leftrightarrow\orbr{\begin{cases}x=12\\x=-8\end{cases}}}\)
4) |x|=-5
=> Không tồn tại giá trị của x thỏa mãn vì |x| >=0 với mọi x thuộc Z
f: Ta có: \(16x^2-9\left(x+1\right)^2=0\)
\(\Leftrightarrow\left(4x-3x-3\right)\left(4x+3x+3\right)=0\)
\(\Leftrightarrow\left(x-3\right)\left(7x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-\dfrac{3}{7}\end{matrix}\right.\)
a) Ta có: \(\left(2x+7\right)^2=\left(x+3\right)^2\)
\(\Leftrightarrow\left(2x+7\right)^2-\left(x+3\right)^2=0\)
\(\Leftrightarrow\left(2x+7-x-3\right)\left(2x+7+x+3\right)=0\)
\(\Leftrightarrow\left(x+4\right)\cdot\left(3x+10\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+4=0\\3x+10=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-4\\3x=-10\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-4\\x=-\dfrac{10}{3}\end{matrix}\right.\)
Vậy: \(S=\left\{-4;-\dfrac{10}{3}\right\}\)
b) Ta có: \(\left(4x+14\right)^2=\left(7x+2\right)^2\)
\(\Leftrightarrow\left(4x+14\right)^2-\left(7x+2\right)^2=0\)
\(\Leftrightarrow\left(4x+14-7x-2\right)\left(4x+14+7x+2\right)=0\)
\(\Leftrightarrow\left(-3x+12\right)\left(11x+16\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}-3x+12=0\\11x+16=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-3x=-12\\11x=-16\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-\dfrac{16}{11}\end{matrix}\right.\)Vậy: \(S=\left\{4;-\dfrac{16}{11}\right\}\)
(2x+7)2=(x+3)2
=>(2x+7)2-(x+3)2=0
=>(2x+7-x-3)(2x+7+x+3)=0
=>(x-4)(3x+10)=0
=>x-4=0 hoặc 3x+10=0
TH1:x-4=0=>x=4
TH2:3x+10=0=>x=-10/3
(4x+14)2=(7x+2)2
(4x+14)2-(7x+2)2=0
(4x+14-7x-2)(4x+14+7x+2)=0
(-3x+12)(11x+16)=0
TH1:-3x+12=0=>x=4
TH2:11x+16=0=>x=-16/11
1) \(x\left(x+4\right)\left(x-4\right)-\left(x^2+1\right)\left(x^2-1\right)\)
\(=x\left(x^2-16\right)\)
\(=x^3-16x-\left(x^2+1\right)\left(x^2-1\right)\)
\(=x^3-16x-x^4+1\)
b) \(7x\left(4y-x\right)+4y\left(y-7x\right)-2\left(2y^2-3.5x\right)\)
\(=28xy-7x^2+4y\left(y-7x\right)-2\left(2y^2-3.5x\right)\)
\(=28xy-7x^2+4y^2-28xy-4y^2+7x\)
\(=-7x^2+7x\)
c) \(\left(3x-1\right)\left(2x-5\right)-4\left(2x^2-5x+2\right)\)
\(=6x^2-17x+5-4\left(2x^2-5x+2\right)\)
\(=6x^2-17x+5-8x^2+20x-8\)
\(=-2x^2+3x-3\)
a) x(x+4)(x-4)-(x2+1)(x2-1)
=>x(x2-42)-(x4-12)
=>x3-16x-x4+1
=>-x4-x3-15x
b) 7x(4y-x)+4y(y-7x)-2(2y2-3.5x)
=>28xy-7x2+4y2-28xy-4y2+30x
=>-7x2+30x
c) (3x+1)(2x-5)-4(2x2-5x+2)
=>6x2-15x+2x-5-8x2+20x-8
=>-2x2+7x-13
Bài 1: Tìm x
a) (x-5) (x-3)+ 2(x-5)=0
b) (x-2)(x^2+2x+4)-(x+2)(x^2-2x+4)=2(x+2)
giúp e với ạ, e cảm ơn
a) (x - 5)(x - 3) + 2(x - 5) = 0
(x - 5)(x - 3 + 2) = 0
(x - 5)(x - 1) = 0
x - 5 = 0 hoặc x - 1 = 0
*) x - 5 = 0
x = 5
*) x - 1 = 0
x = 1
Vậy x = 1; x = 5
b) (x - 2)(x² + 2x + 4) - (x + 2)(x² - 2x + 4) = 2(x + 2)
x³ - 8 - x³ - 8 = 2x + 4
2x = -8 - 8 - 4
2x = -20
x = -20 : 2
x = -10
a)
\(\left(x-5\right)\left(x-3\right)+2\left(x-5\right)=0\)
\(\left(x-5\right)\left(x-3+2\right)=0\)
\(\left(x-5\right)\left(x-1\right)=0\)
\(x-5=0\) hoặc \(x-1=0\)
+) \(x-5=0\\ \Rightarrow x=5\)
+) \(x-1=0\\ \Rightarrow x=1\)
Vậy \(x=1\) hoặc \(x=5\)
b) \(\left(x-2\right)\left(x^2+2x+4\right)-\left(x+2\right)\left(x^2-2x+4\right)=2\left(x+2\right)\)
\(x^3-8-x^3-8=2x+4\)
\(2x=-8-8-4\)
\(2x=-20\)
\(x=-20:2\)
\(x=-10\)
Vậy \(x=-10\)
a, \(2x-3< 0\Leftrightarrow2x< 3\Leftrightarrow x< \frac{3}{2}\)
b, \(\left(2x-4\right)\left(9-3x\right)>0\)
\(\Leftrightarrow\hept{\begin{cases}2x-4>0\\9-3x>0\end{cases}\Leftrightarrow\hept{\begin{cases}x>2\\x< 3\end{cases}\Leftrightarrow2< x< 3}}\)
a. \(2x-3< 0\Leftrightarrow2x< 3\Leftrightarrow x< \frac{3}{2}\)
b. \(\left(2x-4\right)\left(9-3x\right)>0\Leftrightarrow18x-6x-36+12x>0\Leftrightarrow24x>36\Leftrightarrow x>\frac{3}{2}\)
c. \(\frac{2}{3}x-\frac{3}{4}>0\Leftrightarrow\frac{2}{3}x>\frac{3}{4}\Leftrightarrow x>\frac{9}{8}\)
d. \(\left(\frac{3}{4}-2x\right)\left(\frac{-3}{5}+\frac{2}{-61}-\frac{17}{51}\right)\le0\)
\(\Leftrightarrow\frac{3}{4}-2x\le0\Leftrightarrow2x\le\frac{3}{4}\Leftrightarrow x\le\frac{3}{8}\)
e. \(\left(\frac{3}{2}x-4\right).\frac{5}{3}>\frac{15}{6}\Leftrightarrow\frac{3}{2}x-4>\frac{3}{2}\Leftrightarrow\frac{3}{2}x>\frac{11}{2}\Leftrightarrow x>\frac{11}{3}\)
\(a.2x+7x+x=-270\)
\(10x=-270\)
\(x=-27\)
\(b,\left(x-1\right)\left(x-9\right)=0\)
\(=>x-1=0\) \(=>x=1\)
\(x-9=0=>x=9\)
Vậy \(x\in\left\{1;9\right\}\)
cho mình hỏi ạ...bài a, sao bạn là ra là 10x ạ?
Bạn không thích trả lời cũng được ạ...!
a: =>x-1/2=0 hoặc 2x+5=0
=>x=1/2 hoặc x=-5/2
b:=>-4x=-6
=>x=3/2
a)\(\left(\dfrac{x-1}{2}\right)\left(2x-5\right)=0\)
⇔\(\dfrac{x-1}{2}=0\) \(hoặc\) \(2x-5=0\)
⇔\(\dfrac{x-1}{2}\cdot\dfrac{1}{2}=0\cdot\dfrac{1}{2}\) \(hoặc\) \(2x=5\)
⇔\(x-1=0\) \(hoặc\) \(\dfrac{2x}{2}=\dfrac{5}{2}\)
⇔\(x=1\) \(hoặc\) \(x=\dfrac{5}{2}\)
Vậy phương trình có tập nghiệm là: \(S=\left\{1;\dfrac{5}{2}\right\}\)
b)\(15-7x=9-3x\)
⇔\(-7x+3x=9-15\)
⇔\(-4x=-6\)
⇔\(\dfrac{-4x}{-4}=\dfrac{-6}{-4}\)
⇔\(x=\dfrac{-6}{-4}\)
⇔\(x=\dfrac{3}{2}\)
Vậy phương trình có nghiệm là \(x=\dfrac{3}{2}\)