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a, x=-505
b, x=35/8 hoac -37/8
nhung cau con lai thi tong tu
Câu a :
\(x^2-2x-3=0\)
\(\Leftrightarrow x^2-x+3x-3=0\)
\(\Leftrightarrow x\left(x-1\right)+3\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\Rightarrow x=1\\x+3=0\Rightarrow x=-3\end{matrix}\right.\)
Câu b :
\(2x^2+3=-5x\)
\(\Leftrightarrow2x^2+3+5x=0\)
\(\Leftrightarrow2x^2+2x+3x+3=0\)
\(\Leftrightarrow2x\left(x+1\right)+3\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(2x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+1=0\Rightarrow x=-1\\2x+3=0\Rightarrow x=-\dfrac{3}{2}\end{matrix}\right.\)
Mấy câu sau khó quá ko bt làm :)
Ta có : (x + 1)(x - 3) = 0
\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x-3=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-1\\x=3\end{cases}}\)
Ta có : \(\left(3x-1\right)\left(-\frac{1}{2}x+5\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}3x-1=0\\-\frac{1}{2}x+5=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}3x=1\\-\frac{1}{2}x=-5\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=-5.\left(-2\right)\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=10\end{cases}}\)
1. f(x) = -3x4 + 5x3 + 2x2 - 7x + 7 tại x = 1; 0; 2
xét x=1 có f(x) =-3.14 +5.13 +2.12-7.1+7
=-3.1+5.1+2.1-7+7
=-3+5+2-7+7
=4
xét x=0 có f(x) =-3.04 +5.03 +2.02-7.0+7
=0+0+0-0+7=7
xét x=2 có f(x) =-3.24 +5.23 +2.22-7.2+7
=-3.16+5.8+2.4-14+7
=48+40+8-14+7
=89
2. g(x) = x4 - 5x3 + 7x2 + 15x + 2 tại x = -1; 0; 1; 2
xét x=-1 có: g(x)=(-1)4-5.(-1)3+7.(-1)2+15.(-1)+2
=1-5.(-1)+7.1-15+2
=1-(-5)+7-15+2
=1+5+7-15+2=0
xét x=0 có: g(x)=04-5.03+7.02+15.0+2
=0-0+0+0+2+2=2
xét x=1 có: g(x)=14-5.13+7.12+15.1+2
=1-5.1+7.1-15+2
=1-5+7-15+2
=1-5+7-15+2=-10
xét x=2 có: g(x)=24-5.23+7.22+15.2+2
=32-5.8+7.4-30+2
=32-40+28-30+2
=-8
3. h(x) = -x4 + 3x3 + 2x2 - 5x + 1 tại x = -2; -1; 1; 2
xét x=-2có:h(X)=-(-2)4 + 3(-2)3 + 2.(-2)2 - 5.(-2) + 1
=-(32)+3.(-8)+2.4+10+1
=-32-24+8+10+1
=-37
xét x=2có:h(X)=-(2)4 + 3.23 + 2.22 - 5.2 + 1
=-(32)+3.8+2.4+10+1
=-32+24+8+10+1
=11
xét x=1có:h(X)=14 + 3.13 + 2.12 - 5.1 + 1
=1+3.1+2.1+5+1
=1+3+2+5+1
=13
xét x=-1có:h(X)=-14 + 3.(-1)3 + 2.(-1)2 - 5.(-1) + 1
=1+3.(-1)+2.(-1)+5+1
=1-3-2+5+1
=2
4. r(x) = 3x4 + 7x3 + 4x2 - 2x - 2 tại x = -1; 0; 1
xét x=-1có:r(X)= 3(-1)4 + 7(-1)3 + 4(-1)2 - 2(-1)- 2
= 3.1+7.(-1) +4.1+2-2
=3-7+4+2-2
= 0
xét x=0có:r(X)= 3.04 + 7.03 + 4.02 - 2.0- 2
= 0+0+0-0-2
= -2
xét x=1có:r(X)= 3(1)4 + 7(1)3 + 4(1)2 - 2(1)- 2
= 3.1+7.1 +4.1-2-2
=3+7+4-2-2
= 10
a,\(2\left(2x+1\right)-5x=0\Rightarrow4x+2-5x=0\)
\(\Rightarrow-x+2=0\Rightarrow x=2\)
b,\(\left(x+1\right)\left(x+2\right)-x^2=0\)
\(\Rightarrow\left(x^2+x+2x+2\right)-x^2=0\)
\(\Rightarrow x^2+3x+2-x^2=0\)
\(\Rightarrow3x+2=0\Rightarrow3x=-2\)
\(\Rightarrow x=-\frac{2}{3}\)
|5\(x\) - 4| = |\(x+2\)|
\(\left[{}\begin{matrix}5x-4=x+2\\5x-4=-x-2\end{matrix}\right.\)
\(\left[{}\begin{matrix}4x=6\\6x=2\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=\dfrac{1}{3}\end{matrix}\right.\)
vậy \(x\in\) { \(\dfrac{1}{3};\dfrac{3}{2}\)}
|2\(x\) - 3| - |3\(x\) + 2| = 0
|2\(x\) - 3| = | 3\(x\) + 2|
\(\left[{}\begin{matrix}2x-3=3x+2\\2x-3=-3x-2\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-5\\x=\dfrac{1}{5}\end{matrix}\right.\)
vậy \(x\in\){ -5; \(\dfrac{1}{5}\)}
1) 5x×(x-1)=0
Giải:
5 x (x -1) = 0 {x=0 / x-1=0Kết quả:
X ∈ {0 , 1}2) (x + 1/4): x-3/7) = 0
Giải:
\(\dfrac{X+\dfrac{1}{2^2}}{X}-\dfrac{3}{7}=0\)\(\dfrac{\left(2^2\right)x+1}{\dfrac{2^2}{X}}-\dfrac{3}{7}=0\)
Kết quả:
X =\(-\dfrac{7}{16}\) (Nếu kết quả mk làm có gì sai sót mong bạn thông cảm)
\(\left(x-\dfrac{1}{2}\right)\left(1+5x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{1}{2}=0\\1+5x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=-\dfrac{1}{5}\end{matrix}\right.\)
Vậy .............