Ai làm bài 3 tìm x hộ mình với
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(xy+x+y=4\\ x\left(y+1\right)+y+1=4+1=5\\ \left(x+1\right)\left(y+1\right)=5\)
| \(x+1\) | \(5\) | \(1\) | \(-1\) | \(-5\) |
| \(y+1\) | \(1\) | \(5\) | \(-5\) | \(-1\) |
| \(x\) | \(4\) | \(0\) | \(-2\) | \(-6\) |
| \(y\) | \(0\) | \(4\) | \(-6\) | \(-2\) |
Bài 3:
Xét ΔIAB có
\(\widehat{AIB}+\widehat{IAB}+\widehat{IBA}=180^0\)
\(\Leftrightarrow\widehat{IAB}+\widehat{IBA}=115^0\)
hay \(\widehat{DAB}+\widehat{ABC}=230^0\)
Xét tứ giác ABCD có
\(\widehat{D}+\widehat{C}+\widehat{DAB}+\widehat{CBA}=360^0\)
\(\Leftrightarrow\widehat{D}+\widehat{C}=150^0\)
mà \(\widehat{C}-\widehat{D}=10^0\)
nên \(2\cdot\widehat{C}=160^0\)
\(\Leftrightarrow\widehat{C}=80^0\)
\(\Leftrightarrow\widehat{D}=70^0\)
1: \(\left(x-3\right)^3-\left(x-3\right)\left(x^2+3x+9\right)+9\left(x+1\right)^2=15\)
=>\(x^3-9x^2+27x-27-\left(x^3-27\right)+9\left(x^2+2x+1\right)=15\)
=>\(-9x^2+27x+9x^2+18x+9=15\)
=>45x=6
=>\(x=\frac{6}{45}=\frac{2}{15}\)
2: \(x\left(x-5\right)\left(x+5\right)-\left(x+2\right)\left(x^2-2x+4\right)=3\)
=>\(x\left(x^2-25\right)-\left(x^3+8\right)=3\)
=>\(x^3-25x-x^3-8=3\)
=>-25x=11
=>\(x=-\frac{11}{25}\)
3: \(\left(x+4\right)\left(x^2-4x+16\right)-x\left(x-5\right)\left(x+5\right)=264\)
=>\(x^3+64-x\left(x^2-25\right)=264\)
=>\(x^3+64-x^3+25x=264\)
=>25x=200
=>x=8
4: \(\left(x-2\right)^3-\left(x-2\right)\left(x^2+2x+4\right)+6\left(x-2\right)\left(x+2\right)=60\)
=>\(x^3-6x^2+12x-8-\left(x^3-8\right)+6\left(x^2-4\right)=60\)
=>\(-6x^2+12x+6x^2-24=60\)
=>12x-24=60
=>12x=84
=>x=7
5: \(\left(x+3\right)^4-\left(x-3\right)^4-24x^3=108\)
=>\(\left\lbrack\left(x+3\right)^2-\left(x-3\right)^2\right\rbrack\left\lbrack\left(x+3\right)^2+\left(x-3\right)^2\right\rbrack-24x^3=108\)
=>\(\left(x^2+6x+9-x^2+6x-9\right)\left(x^2+6x+9+x^2-6x+9\right)-24x^3=108\)
=>\(12x\left(2x^3+18\right)-24x^3=108\)
=>\(24x^3+216x-24x^3=108\)
=>216x=108
=>\(x=\frac{108}{216}=\frac12\)
7: \(\left(5x-1\right)^2-\left(5x-4\right)\left(5x+4\right)=7\)
=>\(25x^2-10x+1-\left(25x^2-16\right)=7\)
=>\(25x^2-10x+1-25x^2+16=7\)
=>-10x=7-17=-10
=>x=1
8: \(\left(4x+1\right)^2-\left(2x+3\right)^2+5\left(x+2\right)^2+3\left(x-2\right)\left(x+2\right)=500\)
=>\(16x^2+8x+1-\left(4x^2+12x+9\right)+5\left(x^2+4x+4\right)+3\left(x^2-4\right)\) =500
=>\(16x^2+8x+1-4x^2-12x-9+5x^2+20x+20+3x^2-12=500\)
=>\(20x^2+16x-500=0\)
=>\(x^2+\frac45x-25=0\)
=>\(x^2+2\cdot x\cdot\frac25+\frac{4}{25}-25-\frac{4}{25}=0\)
=>\(\left(x+\frac25\right)^2=25+\frac{4}{25}=\frac{629}{25}\)
=>\(\left[\begin{array}{l}x+\frac25=\frac{\sqrt{629}}{5}\\ x+\frac25=-\frac{\sqrt{629}}{5}\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac{\sqrt{629}-2}{5}\left(nhận\right)\\ x=\frac{-\sqrt{629}-2}{5}\left(nhận\right)\end{array}\right.\)
9: \(\left(x-3\right)\left(x^2+3x+9\right)+x\left(x+2\right)\left(2-x\right)=1\)
=>\(x^3-27+x\left(4-x^2\right)=1\)
=>4x-27=1
=>4x=28
=>x=7
10: \(\left(x+1\right)^3-\left(x-1\right)^3-6\left(x-1\right)^2=-10\)
=>\(x^3+3x^2+3x+1-\left(x^3-3x^2+3x-1\right)-6\left(x^2-2x+1\right)=-10\)
=>\(x^3+3x^2+3x+1-x^3+3x^2-3x+1-6x^2+12x-6=-10\)
=>12x-6=-10
=>12x=-4
=>x=-4/12=-1/3
Bài 3:
Xét ΔIAB có
\(\widehat{AIB}+\widehat{IAB}+\widehat{IBA}=180^0\)
\(\Leftrightarrow\widehat{IAB}+\widehat{IBA}=115^0\)
hay \(\widehat{DAB}+\widehat{ABC}=230^0\)
Xét tứ giác ABCD có
\(\widehat{D}+\widehat{C}+\widehat{DAB}+\widehat{CBA}=360^0\)
\(\Leftrightarrow\widehat{D}+\widehat{C}=150^0\)
mà \(\widehat{C}-\widehat{D}=10^0\)
nên \(2\cdot\widehat{C}=160^0\)
\(\Leftrightarrow\widehat{C}=80^0\)
\(\Leftrightarrow\widehat{D}=70^0\)
\(4-\left(7-x\right)=x-\left(13-4\right)\)
\(4-7+x=x-9\)
\(-3+x-x+9=0\)
\(6=0\)
phương trình có nghiệm rỗng
Câu trả lời hay nhất: từ giả thiết thứ nhất dặt x= 3t , y =5t , z = -2t
thay vào giả thiết thứ 2 ta có 15t - 5t - 6t = 124 <=> t =31
nên x= 93 , y= 155 , z= -62
thân mên
long
đặng hoàng long
a) I x-7I + I x-3I =0
có Ix-7I\(\ge\)0\(\forall\)x \(\in\)R
I x -3 I \(\ge0\forall x\in R\)
=> \(\hept{\begin{cases}Ix-7I=0\\Ix-3I=0\end{cases}}\)
=>\(\hept{\begin{cases}x-7=0\\x-3=0\end{cases}}\)
=>\(\hept{\begin{cases}x=7\\x=3\end{cases}}\)
vậy x\(\in\){3,7}
phần B chắc bạn biết lm rùi đúng không
nếu không lm dc ib mik lm tiếp nha
áp dụng công thức lm tiếp như vậy nha
Phạm Minh Hiếu ơi , hình như cậu làm sai rồi đó . Thử lại ko có đúng . Cậu xem lại hộ mình với ...... !!! ^-^




3x2-75=0
<=> 3x2=75
<=> x2=25
<=> x=5
2x2-98=0
<=> 2x2=98
<=> x2=49
<=> x=7
x2-7x=0
<=> x(x-7)=0
<=> x=0 hoặc x=7
-3x2+5x=0
x(-3x+5)=0
x=0 hoặc -3x+5=0
x=0 hoặc -3x=-5
x=0 hoặc x=5/3
x2+4x+4=0
(x+2)2=0
x+2=0
x=-2
1. 3x2 - 75 = 0
<=> 3x2 = 75
<=> x2 = 25
<=> x = \(\sqrt{25}\)
<=> x = 5
2. x2 - 7x = 0
<=> x(x - 7) = 0
<=> \(\left[{}\begin{matrix}x=0\\x-7=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=7\end{matrix}\right.\)
3. x2 - 14x + 13 = 0
<=> x2 - 13x - x + 13 = 0
<=> x(x - 13) - (x - 13) = 0
<=> (x - 1)(x - 13) = 0
<=> \(\left[{}\begin{matrix}x-1=0\\x-13=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=13\end{matrix}\right.\)
4. 2x2 - 98 = 0
<=> 2x2 = 98
<=> x2 = 49
<=> x = \(\sqrt{49}\)
<=> x = 7
5. -3x2 + 5x = 0
<=> x(-3x + 5) = 0
<=> \(\left[{}\begin{matrix}x=0\\-3x+5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{5}{3}\end{matrix}\right.\)
6. x2 - 2x - 80 = 0
<=> x2 + 8x - 10x - 80 = 0
<=> x(x + 8) - 10(x + 8) = 0
<=> (x - 10)(x + 8) = 0
<=> \(\left[{}\begin{matrix}x-10=0\\x+8=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=10\\x=-8\end{matrix}\right.\)
7. x2 = 81
<=> x2 - 92 = 0
<=> (x - 9)(x + 9) = 0
<=> \(\left[{}\begin{matrix}x-9=0\\x+9=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=9\\x=-9\end{matrix}\right.\)
8. x2 + 4x + 4 = 0
<=> x2 + 2.x.2 + 22 = 0
<=> (x + 2)2 = 0
<=> 0 = 02 - (x + 2)2
<=> (0 + x + 2)(0 - x + 2) = 0
<=> (x + 2)(-x + 2) = 0
<=> \(\left[{}\begin{matrix}x+2=0\\-x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=2\end{matrix}\right.\)
9. 4x2 + 12x + 5 = 0
<=> 4x2 + 2x + 10x + 5 = 0
<=> 2x(2x + 1) + 5(2x + 1) = 0
<=> (2x + 5)(2x + 1) = 0
<=> \(\left[{}\begin{matrix}2x+5=0\\2x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-5}{2}\\x=\dfrac{-1}{2}\end{matrix}\right.\)