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vào đây để tính M nha Thành :
https://coccoc.com/search/math#query=3x5+-+11x4+%2B+11x3+-+16x2+%2B+3x+%2B+7
b,(2x -3 )(3x - 1) =(2x+3)(x-2)
<=> 6x2 - 11x + 3 = 2x2 - x - 6
<=.> 4x2 - 10x + 9 = 0
<=> (2x - \(\frac{5}{2}\))2 +\(\frac{11}{4}\)= 0 ( vô lí )
( Vì (2x - \(\frac{5}{2}\))2 \(\ge\) 0 => (2x - \(\frac{5}{2}\))2 + \(\frac{11}{4}\)\(\ge\)\(\frac{11}{4}\))
Vậy pt vô nghiệm
câu C : (4-3x)(2x+3)=(5-2x)(3x-4)
<=> (4-3x)(2x+3)-(5-2x)(4-3x)=0
<=>(4-3x)(2x+3-5+2x)=0
<=>(4-3x)(4x-2)=0
<=>\(\left[\begin{matrix}3x=4\\4x=2\end{matrix}\right.\)
<=>\(\left[\begin{matrix}x=\frac{4}{3}\\x=\frac{1}{2}\end{matrix}\right.\)
a) \(\left(3x-2\right)\left(\frac{10x\left(x+3\right)-7\left(4x-3\right)}{35}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-2=0\\-18x+51=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\frac{2}{3}\\x=\frac{17}{6}\end{matrix}\right.\)
b)\(\left(3,3x-11\right)\left(\frac{3\left(7x+2\right)+10\left(1-3x\right)}{15}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{3}{10}\\x=\frac{16}{9}\end{matrix}\right.\)
1/ \(3x^2+2x-1=0\)
Nhận thấy: a-b+c=1 nên pt có nghiệm \(\left[{}\begin{matrix}x=-1\\x=\frac{1}{3}\end{matrix}\right.\)
Vậy .............
2/ \(3x^2+4x-4=0\)
\(\Leftrightarrow x\left(3x-2\right)+2\left(3x-2\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(3x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=\frac{2}{3}\end{matrix}\right.\)
Vậy ....................
3/ \(x^2+\left(x+2\right)\left(11x-7\right)=0\Leftrightarrow x^2+11x^2+15x-14=0\)
\(\Leftrightarrow12x^2+15x-14=0\)
\(\Delta=15^2-4.12.\left(-14\right)=897\)
\(\Rightarrow\left[{}\begin{matrix}x=\frac{-15+\sqrt{897}}{24}\\x=\frac{-15-\sqrt{897}}{24}\end{matrix}\right.\)
Vậy ................
3x^2 + 2x - 1 = 0
=> 2x^2 + 2x + x^2 - 1 = 0
=> 2x. (x + 1) + (x + 1).(x - 1) = 0
=> ( x+1). ( 3x - 1) = 0
TH1: x+1=0 => x = - 1
TH2: 3x - 1 =0 => x =1/3
Vậy.....
a)\(\left(x^2+1\right)\left(x^2-4x+4\right)=0\Leftrightarrow\orbr{\begin{cases}x^2+1=0\\x^2-4x+4=0\end{cases}\Rightarrow\orbr{\begin{cases}x^2=-1\left(vn\right)\\\left(x-2\right)^2=0\end{cases}\Rightarrow}x=2}\)
b)\(\left(3x-2\right)\left(\frac{2x+6}{7}-\frac{4x-3}{5}\right)=0\\ \Rightarrow\left(3x-2\right)\left(\frac{10x+30-28x+21}{35}\right)=0\)
\(\Rightarrow\left(3x-2\right)\left(\frac{-18x+51}{35}\right)=0\Rightarrow\orbr{\begin{cases}x=\frac{2}{3}\\x=\frac{17}{6}\end{cases}}\)
c)\(\left(3,3-11x\right)\left(\frac{21x+6+10-30x}{15}\right)=0\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{10}\\x=\frac{16}{9}\end{cases}}\)
\(x^2+3x-18=0\)
\(\Leftrightarrow\left(x-3\right)\left(x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=0\\x+6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=3\\x=-6\end{cases}}}\)
\(8x^2+30x+7=0\)
\(\Leftrightarrow\left(x+\frac{1}{4}\right)\left(x+\frac{7}{2}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+\frac{1}{4}=0\\x+\frac{7}{2}=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{4}\\x=-\frac{7}{2}\end{cases}}}\)
\(x^3-11x^2+30x=0\)
\(\Leftrightarrow x\left(x-6\right)\left(x-5\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-6=0\\x-5=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=6\\x=5\end{cases}}}\)hoặc \(x=0\)
\(x^2+3x-18=x^2-3x+6x-18=x\left(x-3\right)+6\left(x-3\right)=\left(x-2\right)\left(x+6\right)\)
Giải Phương Trình Sau (Nhớ ghi cách làm nha mình k đúng cho)
Lời giải:
\(H=3x^5-11x^4+11x^3-16x^2+3x+7\)
\(=3x^3(x^2-3x)-2x^2(x^2-3x)+5x(x^2-3x)-(x^2-3x)+7\)
\(=3x^3.0-2x^2.0+5x.0-0+7=7\)