giúp mình với -2x^4-7x^3-x^2+7x+3
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f: Ta có: \(16x^2-9\left(x+1\right)^2=0\)
\(\Leftrightarrow\left(4x-3x-3\right)\left(4x+3x+3\right)=0\)
\(\Leftrightarrow\left(x-3\right)\left(7x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-\dfrac{3}{7}\end{matrix}\right.\)
\(4x^2-2x+3-4x\left(x-5\right)=7x-3\)
\(\Rightarrow4x^2-2x+3-4x^2+20x=7x-5\)
\(\Rightarrow11x=-8\)
\(\Rightarrow x=\frac{-8}{11}\)
Ta có : 4x2 - 2x + 3 -4x(x - 5) = 7x - 3
=> 4x2 - 2x + 3 - 4x2 + 20x = 7x - 3
=> 18x + 3 = 7x - 3
=> 18x - 7x = -3 - 3
=> 11x = -6
=> x = -6/11
chu vi hcn là 4/5 chiều rong bang 4/5 chieu dai . tinh dien tích hcn
giúp mình nha
Ta có: \(2x^4+11x^3+11x^2-24x-36\)
\(=2x^4+4x^3+7x^3+14x^2-3x^2-6x-18x-36\)
\(=\left(x+2\right)\left(2x^3+7x^2-3x-18\right)\)
\(=\left(x+2\right)\left(2x^3+4x^2+3x^2+6x-9x-18\right)\)
\(=\left(x+2\right)^2\left(2x^2+3x-9\right)\)
\(=\left(x+2\right)^2\cdot\left(2x^2+6x-3x-9\right)\)
\(=\left(x+2\right)^2\cdot\left(x+3\right)\left(2x-3\right)\)
Ta có: \(x^5+7x^4+21x^3+47x^2+80x+60\)
\(=x^5+4x^4+4x^3+3x^4+12x^3+12x^2+5x^3+20x^2+20x+15x^2+60x+60\)
\(=\left(x^2+4x+4\right)\left(x^3+3x^2+5x+15\right)\)
\(=\left(x+2\right)^2\cdot\left(x+3\right)\left(x^2+5\right)\)
Ta có: \(\frac{2x^4+11x^3+11x^2-24x-36}{x^5+7x^4+21x^3+47x^2+80x+60}\)
\(=\frac{\left(x+2\right)^2\cdot\left(x+3\right)\left(2x-3\right)}{\left(x+2\right)^2\cdot\left(x+3\right)\left(x^2+5\right)}=\frac{2x-3}{x^2+5}\)
1.
2|x-6|+7x-2=|x-6|+7x
2|x-6| - |x-6|=7x-(7x-2)
|x-6| = 2
=>x-6 = +2
*x-6=2 *x-6 = -2
x =2+6 x = (-2)+6
x =8 x = 4
2.
|x-5|-7(x+4)=5-7x
|x-5|-7x-28 =5-7x
|x-5|-28 =5-7x+7x
|x-5|-28 = 5
|x-5| = 5+28
|x-5| = 33
=>x-5 = +33
*x-5=33 *x-5=-33
x =38 x = -28
3.
3|x+4|-2(x-1)=7-2x
3|x+4|-2x+2 =7-2x
3|x+4|-2 =7-2x+2x
3|x+4|-2 =7
3|x+4| =7+2
3|x+4| = 9
|x+4| =9:3
|x+4| = 3
=>x+4 = +3
*x+4=3 *x+4=-3
x =-1 x = -7
\(=\left(x^2+2x+1\right)+\left(y^2-8y+16\right)=\left(x+1\right)^2+\left(y-4\right)^2\ge0\forall x,y\)
dấu "=" xảy ra \(\Leftrightarrow\left\{{}\begin{matrix}x=-1\\y=4\end{matrix}\right.\)