2*x^2+7x+3=0
4*x^2-4x+12=0
giai giup minh nhe
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7(2x - 5) - 5(7x - 2) + 2(5x - 7) = (x + 2) - (x + 4)
=> 14x - 35 - 35x + 10 + 10x -14 = x + 2 - x - 4
=> (14x - 35x + 10x) + (-35 + 10 - 14) = -2
=> -11x + (-39) = -2
=> -11x = -2 - (-39)
=> -11x = 37
=> x = \(\frac{-37}{11}\)
7(2x - 5) - 5(7x - 2) + 2(5x - 7) = (x + 2) - (x + 4)
=> 14x - 35 - 35x + 10 + 10x -14 = x + 2 - x - 4
=> (14x - 35x + 10x) + (-35 + 10 - 14) = -6
=> -11x - 39 = -6
=> -11x = -6+39
=> -11x = 33
=> x = 33:(-11)
=> x = -3
(x+1)2-(x+1)=0
<=> (x+1)2 hoặc x+1=0
(x+1)2=0 => x=-1
x+1=0 => x=-1
Vậy x=-1
b) 5x2-13x=0
x(5x-13)=0
<=> x=0 hoặc 5x-13=0
5x-13=0 => 5x=13 => x=13/5
Vậy x=13/5
c) x2-7x3=0
<=> x(x-7x2)=0
=> x=0 hoặc
1) x2 - 9x = 0
=> x.(x - 9) = 0
=> \(\orbr{\begin{cases}x=0\\x-9=0\end{cases}}\)=> \(\orbr{\begin{cases}x=0\\x=9\end{cases}}\)
2) x4 - 4x2 = 0
=> x2.(x2 - 4) = 0
=> \(\orbr{\begin{cases}x^2=0\\x^2-4=0\end{cases}}\)=> \(\orbr{\begin{cases}x=0\\x^2=4\end{cases}}\)=> \(\orbr{\begin{cases}x=0\\x\in\left\{2;-2\right\}\end{cases}}\)
3) x2 - 4x + 3 = 0
=> x2 - x - 3x + 3 = 0
=> x.(x - 1) - 3.(x - 1) = 0
=> (x - 1).(x - 3) = 0
=> \(\orbr{\begin{cases}x-1=0\\x-3=0\end{cases}}\)=> \(\orbr{\begin{cases}x=1\\x=3\end{cases}}\)
x = -1
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a) Ta có: \(x^2+3x-10=0\)
\(\Leftrightarrow x^2+5x-2x-10=0\)
\(\Leftrightarrow x\left(x+5\right)-2\left(x+5\right)=0\)
\(\Leftrightarrow\left(x+5\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+5=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=2\end{matrix}\right.\)
Vậy: S={-5;2}
b) Ta có: \(3x^2-7x+1=0\)
\(\Leftrightarrow3\left(x^2-\dfrac{7}{3}x+\dfrac{1}{3}\right)=0\)
mà 3>0
nên \(x^2-\dfrac{7}{3}x+\dfrac{1}{3}=0\)
\(\Leftrightarrow x^2-2\cdot x\cdot\dfrac{7}{6}+\dfrac{49}{36}-\dfrac{37}{36}=0\)
\(\Leftrightarrow\left(x-\dfrac{7}{6}\right)^2=\dfrac{37}{36}\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{7}{6}=\dfrac{\sqrt{37}}{6}\\x-\dfrac{7}{6}=-\dfrac{\sqrt{37}}{6}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{\sqrt{37}+7}{6}\\x=\dfrac{-\sqrt{37}+7}{6}\end{matrix}\right.\)
Vậy: \(S=\left\{\dfrac{\sqrt{37}+7}{6};\dfrac{-\sqrt{37}+7}{6}\right\}\)
c) Ta có: \(3x^2-7x+8=0\)
\(\Leftrightarrow3\left(x^2-\dfrac{7}{3}x+\dfrac{8}{3}\right)=0\)
mà 3>0
nên \(x^2-\dfrac{7}{3}x+\dfrac{8}{3}=0\)
\(\Leftrightarrow x^2-2\cdot x\cdot\dfrac{7}{6}+\dfrac{49}{36}+\dfrac{47}{36}=0\)
\(\Leftrightarrow\left(x-\dfrac{7}{6}\right)^2=-\dfrac{47}{36}\)(vô lý)
Vậy: \(x\in\varnothing\)
\(a.x^3+3x^2+4x+2\)
\(=x^3+x^2+2x^2+2x+2\)
\(=x^2\left(x+1\right)+2x\left(x+1\right)+2\left(x+1\right)\)
\(=\left(x+1\right)\left(x^2+2x+2\right)\)
\(b.6x^4-x^3-7x^2+x+1\)
\(=6x^4-6x^3+5x^3-5x^2-2x^2+2x-x+1\)
\(=6x^3\left(x-1\right)+5x^2\left(x-1\right)-2x\left(x-1\right)-\left(x-1\right)\)
\(=\left(x-1\right)\left(6x^3+5x^2-2x-1\right)\)
\(=\left(x-1\right)\left(6x^3+6x^2-x^2-x-x-1\right)\)
\(=\left(x-1\right)\left[6x^2\left(x+1\right)-x\left(x+1\right)-\left(x+1\right)\right]\)
\(=\left(x-1\right)\left(x+1\right)\left(6x^2-x-1\right)\)
\(=\left(x-1\right)\left(x+1\right)\left(6x^2-3x+2x-1\right)\)
\(=\left(x-1\right)\left(x+1\right)\left[3x\left(2x-1\right)+\left(2x-1\right)\right]\)
\(=\left(x-1\right)\left(x+1\right)\left(2x-1\right)\left(3x+1\right)\)
k giùm cái cho đỡ buồn!
\(2x^2+7x+3=0\)
\(\Leftrightarrow\)\(2x^2+x+6x+3=0\)
\(\Leftrightarrow\)\(x\left(2x+1\right)+3\left(2x+1\right)=0\)
\(\Leftrightarrow\)\(\left(2x+1\right)\left(x+3\right)=0\)
đến đây tự làm
\(4x^2-4x+12=0\)
\(\Leftrightarrow\)\(\left(2x-1\right)^2+11=0\)vô lý
Vậy pt vô nghiệm