Giúp mik vs
Tìm x
a, x+0=0
b, x(x-1)=0
c, x+5=0
Tìm x
a, 4x\(^2\)-1-x(2x+1)=0
b, x\(^2\)-7x+12=0
c, x\(^2\)-8x+6=0
\(a,\Rightarrow\left(2x-1\right)\left(2x+1\right)-x\left(2x+1\right)=0\\ \Rightarrow\left(2x+1\right)\left(2x-1-x\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=1\end{matrix}\right.\\ b,\Rightarrow\left(x-3\right)\left(x-4\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=3\\x=4\end{matrix}\right.\\ c,\Rightarrow\left(x^2-8x+16\right)-10=0\\ \Rightarrow\left(x-4\right)^2-10=0\\ \Rightarrow\left(x-4-\sqrt{10}\right)\left(x-4+\sqrt{10}\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=4+\sqrt{10}\\x=4-\sqrt{10}\end{matrix}\right.\)
Giải phương trình ( có câu vô nghiệm)
a, x^2 + 4y^2 + 4xy =0
b,2y^4 - 9y^3+ 2y^2 - 9y=0
c,27x^3 - 27x^y + 3xy^2-y^3=0
a.
\(x^2+4y^2+4xy=0\)
\(\Leftrightarrow\left(x+2y\right)^2=0\)
\(\Leftrightarrow x+2y=0\)
\(\Leftrightarrow x=-2y\)
Vậy pt đã cho có vô số nghiệm dạng \(\left(x;y\right)=\left(-2k;k\right)\) với k là số thực bất kì (nếu đề đúng)
b.
\(2y^4-9y^3+2y^2-9y=0\)
\(\Leftrightarrow2y^2\left(y^2+1\right)-9y\left(y^2+1\right)=0\)
\(\Leftrightarrow\left(2y^2-9y\right)\left(y^2+1\right)=0\)
\(\Leftrightarrow y\left(2y-9\right)\left(y^2+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}y=0\\2y-9=0\\y^2+1=0\left(vn\right)\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}y=0\\y=\dfrac{9}{2}\end{matrix}\right.\)
c. Em kiểm tra lại đề chỗ \(3xy^2\), đề đúng như vậy thì pt này ko giải được
1.
a) (x+3)(2x-8)≥0
b) (x-2)(5-x)>0
c) (x+1)(x+3)(x-4)≥0
d) (2x-4)(x+5)(1-x)<0
a: =>(x-5)(x+5)+(x-5)(3x-15)=0
=>(x-5)(x+5+3x-15)=0
=>(x-5)(4x-10)=0
=>x=5 hoặc x=5/2
c: =>x^3-3x^2+2x^2-6x-8x+24=0
=>(x-3)(x^2+2x-8)=0
=>(x-3)(x+4)(x-2)=0
=>\(x\in\left\{3;-4;2\right\}\)
timf x bieets
a) x^2-25-(x-5)=0
b)(2x-1)^2-(4x^2-1)=0
c)x^2(x^2+4)-x^2-4=0
a) pt
<=> (x - 5)(x + 5) - (x - 5) = 0
<=> (x - 5)(x + 4) = 0
<=> x - 5 = 0 hoặc x + 4 = 0
<=> x = 5 hoặc x = -4
b) pt
<=> (2x - 1)(2x - 1 - 2x - 1) = 0
<=> (2x - 1).(-2)=0
<=> 2x - 1 = 0
<=> x = 1/2
c) pt
<=> (x - 1)(x + 1)(x^2 + 4) = 0
<=> x - 1 = 0 hoặc x + 1 = 0 hoặc x^2 + 4 = 0
<=> x = 1 hoặc x = -1
a,x2−52−(x−5)=0<=>(x−5)(x+5)−(x−5)=0<=>(x−5)(x+4)=0=>x=5;x=−4.b,x2−x−6=0<=>x2−3x+2x−6=0<=>x(x−3)+2(x−3)=0<=>(x+2)(x−3)=0=>x=3;x=−2
a. x2 - 25 - (x - 5) = 0
<=> x2 - 52 - (x - 5) = 0
<=> (x - 5)(x + 5) - (x - 5) = 0
<=> (x + 5 - 1)(x - 5) = 0
<=> (x + 4)(x - 5) = 0
<=> \(\left[{}\begin{matrix}x+4=0\\x-5=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=-4\\x=5\end{matrix}\right.\)
b. (2x - 1)2 - (4x2 - 1) = 0
<=> (2x - 1)2 - (2x - 1)(2x + 1) = 0
<=> (2x - 1)(1 - 2x + 1) = 0
<=> (2x - 1)(2 - 2x) = 0
<=> \(\left[{}\begin{matrix}2x-1=0\\2-2x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=1\end{matrix}\right.\)
c. x2(x2 + 4) - x2 - 4 = 0
<=> x2(x2 + 4) - (x2 + 4) = 0
<=> (x2 - 1)(x2 + 4) = 0
<=> (x - 1)(x + 1)(x2 + 4) = 0
<=> \(\left[{}\begin{matrix}x-1=0\\x+1=0\\x^2+4=0\left(VLí\right)\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=1\\x=-1\end{matrix}\right.\)
Giá trị x= 0 là nghiệm của ptrình nào:
A. 2x+5+x=0
B. 2x-1 =0
C. 3x-2x=0
D. \(2x^2-7x+1=0\)
a) 2x2 + 2x(5 - x)=12 d) 2(x + 5) - x2 - 5x = 0 g) (3x + 1)2 - (x+1) = 0
b) (5 - 2x)2 - 16 = 0 e) (2x - 1)2 - 4(x + 7)(x - 7) = 0 h) x2 + 7x - 8 = 0
c) 3x2 - 3x(x-2) = 36 f) (x + 4)2 - (x + 1)(x - 1) = 16 i) -2x2 +13x -15 = 0
mik cần gấp, cảm ơn mọi người.
\(a,\Leftrightarrow2x^2+10x-2x^2=12\Leftrightarrow x=\dfrac{12}{10}=\dfrac{6}{5}\\ b,\Leftrightarrow\left(5-2x-4\right)\left(5-2x+4\right)=0\\ \Leftrightarrow\left(1-2x\right)\left(9-2x\right)=0\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{9}{2}\end{matrix}\right.\\ c,\Leftrightarrow3x^2-3x^2+6x=36\Leftrightarrow x=6\\ d,\Leftrightarrow2\left(x+5\right)-x\left(x+5\right)=0\\ \Leftrightarrow\left(2-x\right)\left(x+5\right)=0\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-5\end{matrix}\right.\\ e,\Leftrightarrow4x^2-4x+1-4x^2+196=0\\ \Leftrightarrow-4x=-197\Leftrightarrow x=\dfrac{197}{4}\)
\(f,\Leftrightarrow x^2+8x+16-x^2+1=16\Leftrightarrow8x=-1\Leftrightarrow x=-\dfrac{1}{8}\\ g,Sửa:\left(3x+1\right)^2-\left(x+1\right)^2=0\\ \Leftrightarrow\left(3x+1-x-1\right)\left(3x+1+x+1\right)=0\\ \Leftrightarrow2x\left(4x+2\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{1}{2}\end{matrix}\right.\\ h,\Leftrightarrow x^2+8x-x-8=0\\ \Leftrightarrow\left(x+8\right)\left(x-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-8\end{matrix}\right.\\ i,\Leftrightarrow2x^2-13x+15=0\\ \Leftrightarrow2x^2+2x-15x-15=0\\ \Leftrightarrow\left(x+1\right)\left(2x-15\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=\dfrac{15}{2}\end{matrix}\right.\)
Tìm các số hữu tỉ x, biết :
a)\(\dfrac{-5}{x-3}\)<0
b)\(\dfrac{3-x}{x^2+1}\)≥0
c)\(\dfrac{\left(x-1\right)^2}{x-2}\)<0
\(a,\dfrac{-5}{x-3}< 0\Leftrightarrow x-3>0\left(-5< 0\right)\Leftrightarrow x>3\\ b,\dfrac{3-x}{x^2+1}\ge0\Leftrightarrow3-x\ge0\left(x^2+1>0\right)\Leftrightarrow x\le3\\ c,\dfrac{\left(x-1\right)^2}{x-2}< 0\Leftrightarrow x-2< 0\left[\left(x-1\right)^2\ge0\right]\Leftrightarrow x< 2\)
Giúp với mn ơi ;-;a) 9(2x+1)^2-4(x+1)^2=0b) (x+1)^2+2(x+1)+1=0c) (x-1)(x^2-9)+x+3=0d) (7-x)^2__________ -(x+5)^2=0 4e) 4x^2+(x-1)^2-(2x+1)^2=0f) x^3+1=(x+1)(2-x)
Rối quá bn ơi
Bn ko dùng dấu enter để xuống dòng à
Mk sẽ giúp bn 3 câu đầu thôi còn 3 câu sau thì..... chịu vì ko biết làm sao
a) \(9\left(2x+1\right)^2-4\left(x+1\right)^2=0\)
(=)\(\left[9\left(2x+1\right)-4\left(x+1\right)\right]\left[9\left(2x+1\right)+4\left(x+1\right)\right]=0\)
(=)\(\left(18x+9-4x-4\right)\left(18x+9+4x+4\right)=0\)
(=)\(\left(14x+5\right)\left(22x+12\right)=0\)
(=)\(\left(14x+5\right)=0\) hoặc \(\left(22x+12\right)=0\)
1) \(14x+5=0\Rightarrow x=-\dfrac{5}{14}\)
2) \(22x+12=0\Rightarrow x=-\dfrac{6}{11}\)
Vậy........
b)\(\left(x+1\right)^2+2\left(x+1\right)+1=0\)
(=)\(\left(x+1\right)^2+2\left(x+1\right).1+1^2=0\)
(=) \(\left(x+2\right)^2=0\)
(=) \(x+2=0\Rightarrow x=-2\)
Vậy........
c) \(\left(x-1\right)\left(x^2-9\right)+x+3=0\)
(=) \(\left(x-1\right)\left(x-3\right)\left(x+3\right)+x+3=0\)
(=) \(\left(x+3\right)\left(x-3+1\right)\left(x-1\right)=0\)
(=) \(\left(x+3\right)\left(x-2\right)\left(x-1\right)=0\)
(=) \(x+3=0\) hoặc \(x-2=0\) hoặc \(x-1=0\)
1)\(x+3=0\Rightarrow x=-3\)
2)\(x-2=0\Rightarrow x=2\)
3) \(x-1=0\Rightarrow x=1\)
Vậy.........