Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a/ x2 + 3x - 18 = 0
x2 -3x + 6x - 18 = 0
x(x-3) + 6(x-3) = 0
(x-3)(x+6) = 0
Suy ra: x - 3 = 0 hoặc x + 6 = 0
hay x = 3 hoặc x = - 6
Vậy x thuộc {3;-6}.
b/ 8x2 + 30x + 7 = 0
8x2 + 2x + 28x + 7 = 0
2x(4x+1) + 7(4x+1) = 0
(4x+1)(2x+7) = 0
Suy ra: 4x + 1 = 0 hoặc 2x + 7 = 0
hay x = -1/4 hoặc x = -7/2
Vậy x thuộc {-1/4; -7/2}.
c/ x3 - 11x2 + 30x = 0
x(x2 - 11x + 30) = 0
x(x2 - 5x - 6x + 30) = 0
x.[x(x-5) - 6(x-5)] = 0
x(x-5)(x-6) = 0
Suy ra: x = 0; x - 5 = 0 hoặc x - 6 = 0
hay x = 0; x =5; x =6
Vậy x thuộc {0;5;6}.
\(x^2+3x-18=0\)
\(\Leftrightarrow\left(x-3\right)\left(x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=0\\x+6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=3\\x=-6\end{cases}}}\)
\(8x^2+30x+7=0\)
\(\Leftrightarrow\left(x+\frac{1}{4}\right)\left(x+\frac{7}{2}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+\frac{1}{4}=0\\x+\frac{7}{2}=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{4}\\x=-\frac{7}{2}\end{cases}}}\)
\(x^3-11x^2+30x=0\)
\(\Leftrightarrow x\left(x-6\right)\left(x-5\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-6=0\\x-5=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=6\\x=5\end{cases}}}\)hoặc \(x=0\)
\(x^2+3x-18=x^2-3x+6x-18=x\left(x-3\right)+6\left(x-3\right)=\left(x-2\right)\left(x+6\right)\)
a) \(8x^2+30x+7=0\)
\(\Leftrightarrow8\left(x^2+\frac{15}{4}x+7\right)=0\)
\(\Leftrightarrow x^2+\frac{1}{4}x+\frac{7}{2}x+\frac{7}{8}=0\)
\(\Leftrightarrow x\left(x+\frac{1}{4}\right)+\frac{7}{2}\left(x+\frac{1}{4}\right)=0\)
\(\Leftrightarrow\left(x+\frac{1}{4}\right)\left(x+\frac{7}{2}\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x+\frac{1}{4}=0\\x+\frac{7}{2}=0\end{array}\right.\)\(\Leftrightarrow\left[\begin{array}{nghiempt}x=-\frac{1}{4}\\x=-\frac{7}{2}\end{array}\right.\)
b)\(x^3-11x^2+30x=0\)
\(\Leftrightarrow x\left(x^2-11x+30\right)=0\)
\(\Leftrightarrow x\left(x^2-5x-6x+30\right)=0\)
\(\Leftrightarrow x\left[x\left(x-5\right)-6\left(x-5\right)\right]=0\)
\(\Leftrightarrow x\left(x-5\right)\left(x-6\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=0\\x-5=0\\x-6=0\end{array}\right.\)\(\Leftrightarrow\left[\begin{array}{nghiempt}x=0\\x=5\\x=6\end{array}\right.\)
b) 8x2 + 30x + 7 = 0
8x2 + 16x + 14x + 7 = 0
8x.(x+2) + 7.(x+2) = 0
(x+2).(8x+7) = 0
..
bn tự làm tiếp nhé! ^-^
c) x3 - 11x2 + 30x = 0
x.(x2 - 11x +30) = 0
\(x.\left(x^2-5x-6x+30\right)=0.\)
x.[ x.(x-5) - 6.(x-5) ] = 0
x.(x-5).(x-6) = 0
...
a) \(8x^2+30x+7=0\)
\(\Rightarrow8x^2+2x+28x+7=0\)
\(\Rightarrow2x\left(4x+1\right)+7\left(4x+1\right)=0\)
\(\Rightarrow\left(2x+7\right)\left(4x+1\right)=0\)
\(\Rightarrow\)\(2x+7=0\) hoặc \(4x+1=0\)
\(\Rightarrow\)\(2x=-7\) ; \(4x=-1\)
\(\Rightarrow\)\(x=\frac{-7}{2}\) ; \(x=\frac{-1}{4}\)
Vậy \(x\in\left\{\frac{-7}{2};\frac{-1}{4}\right\}\)
b) \(x^3-11x^2+30x=0\)
\(\Rightarrow x\left(x^2-11x+30\right)=0\)
\(\Rightarrow x\left(x^2-6x-5x+30\right)=0\)
\(\Rightarrow x\left[x\left(x-6\right)-5\left(x-6\right)\right]=0\)
\(\Rightarrow x\left(x-5\right)\left(x-6\right)=0\)
\(\Rightarrow\)\(x=0\) hoặc \(x-5=0\) hoặc \(x-6=0\)
\(\Rightarrow\)\(x=0\) ; \(x=5\) ; \(x=6\)
Vậy \(x\in\left\{0;5;6\right\}\)
a)\(8x^2+30x+7=0\Leftrightarrow8x^2+2x+28x+7=0\Leftrightarrow2x\left(4x+1\right)+7\left(4x+1\right)=0\)
\(\Leftrightarrow\left(2x+7\right)\left(4x+1\right)=0\Leftrightarrow\orbr{\begin{cases}2x+7=0\\4x+1=0\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-\frac{7}{2}\\x=-\frac{1}{4}\end{cases}}\)
b)\(x^3-11x^2+30x=0\Leftrightarrow x\left(x^2-11x+30\right)=0\Leftrightarrow x\left(x^2-5x-6x+30\right)=0\)
\(\Leftrightarrow x\left[x\left(x-5\right)-6\left(x-5\right)\right]=0\Leftrightarrow x\left(x-6\right)\left(x-5\right)=0\)
<=>x=0 hoặc x-6=0 hoặc x-5=0 <=> x=0 hoặc x=6 hoặc x=5
8x2+30x+7=0
8x2+16x+14x+7=0
8x(x+2) +7(x+2)=0
(8x+7)(x+2)=0
=>\(\orbr{\begin{cases}8x+7=0\\x+2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-\frac{7}{8}\\x=-2\end{cases}}}\)
\(x^3-11x^2+30x=0\)
\(\left(x-6\right).\left(x-5\right).x=0\)
\(=>\orbr{\begin{cases}x-6=0\\x-5=0,x=0\end{cases}}\)
\(=>\orbr{\begin{cases}x=6\\x=5,x=0\end{cases}}\)
P/S: mk mới lớp 7 sai sót mong bỏ qua
\(8x^2+30x+7=0\)
\(8x^2+28x+2x+7=0\)
\(2x.\left(4x+1\right)+7.\left(4x+1\right)=0\)
\(\left(2x+7\right).\left(4x+1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x=-7\\4x=-1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-\frac{7}{2}\\x=-\frac{1}{4}\end{cases}}\)
vậy ....
P/S sorry mk làm hơi lâu :)__chờ tí làm câu a cho