b) ( 10x^3 - 3x^2 - x - 3 + 12x^4 ):( x + 1 + 3x^2 )
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) 6x(5x + 3) + 3x(1 – 10x) = 7
⇒ 30x2+18x+3x-30x2=7
⇒21x=7
⇒x=\(\dfrac{7}{21}\)
⇒x= \(\dfrac{1}{3}\)
b) (3x – 3)(5 – 21x) + (7x + 4)(9x – 5) = 44
⇒15x-63x2-15+63x + 63x2-35x+36x-20=44
⇒79x-35=44
⇒79x=44+35
⇒79x=79
⇒x=1
a) 5.(x^2-3x+1)+x.(1-5x)=x-2
\(\Leftrightarrow5x^2-15x+5+x-5x^2=x-2\)
\(\Leftrightarrow-14x-x=-2-5\)
\(\Leftrightarrow-15x=-7\)
\(\Leftrightarrow x=\frac{7}{15}\)
b\(,3x.\left(\frac{4}{3}+1\right)-4x\left(x-2\right)=10\)
\(\Leftrightarrow4x+3x-4x^2+8x-10=0\)
\(\Leftrightarrow-4x^2+15x-10=0\)
Đề sai???
\(c,12x^2-4x\left(3x-5\right)=10x-17\)
\(\Leftrightarrow12x^2-12x^2+20x-10x=-17\)
\(\Leftrightarrow10x=-17\)
\(\Leftrightarrow x=-\frac{17}{10}\)
\(d,4x\left(x-5\right)-7x\left(x-4\right)+3x^2=12\)
\(\Leftrightarrow4x^2-20x-7x^2+28x+3x^2=12\)
\(\Leftrightarrow8x=12\)
\(\Leftrightarrow x=\frac{3}{2}\)
Bài 1:
a) \(-5\left(x^2-3x+1\right)+x\left(1+5x\right)=x-2\)
\(\Rightarrow-5x^2+15x-5+x+5x^2=x-2\)
\(\Rightarrow16x-5=x-2\)
\(\Rightarrow16x-x=5-2\)
\(\Rightarrow15x=3\)
\(\Rightarrow x=\dfrac{15}{3}=5\)
b) \(12x^2-4x\left(3x+5\right)=10x-17\)
\(\Rightarrow12x^2-12x^2-20x=10x-17\)
\(\Rightarrow-20x=10x-17\)
\(\Rightarrow-20x-10x=-17\)
\(\Rightarrow-30x=-17\)
\(\Rightarrow x=\dfrac{-30}{-17}=\dfrac{30}{17}\)
c) \(-4x\left(x-5\right)+7x\left(x-4\right)-3x^2=12\)
\(\Rightarrow-4x^2+20x+7x^2-28x-3x^2=12\)
\(\Rightarrow-8x=12\)
\(\Rightarrow x=\dfrac{12}{-8}=-\dfrac{4}{3}\)
Bài 2:
a) \(\left(x+5\right)\left(x-7\right)-7x\left(x-3\right)\)
\(=x^2-7x+5x-35-7x^2+21x\)
\(=-6x^2+19x-35\)
b) \(x\left(x^2-x-2\right)-\left(x-5\right)\left(x+1\right)\)
\(=x^3-x^2-2x-x^2+x-5x-5\)
\(=x^3-2x^2-6x-5\)
c) \(\left(x-5\right)\left(x-7\right)-\left(x+4\right)\left(x-3\right)\)
\(=x^2-7x-5x+35-x^2-3x+4x-12\)
\(=11x+23\)
d) \(\left(x-1\right)\left(x-2\right)-\left(x+5\right)\left(x+2\right)\)
\(=x^2-2x-x+2-x^2+2x+5x+10\)
\(=4x+12\)
a) Ta có: A = 0
=> x2 + 2x - 3 = 0
=> x2 + 3x - x - 3 = 0
=> x(x + 3) - (x + 3) = 0
=> (x - 1)(x + 3) = 0
=> \(\orbr{\begin{cases}x-1=0\\x+3=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=1\\x=-3\end{cases}}\)
Vậy ...
b) Ta có: B = 0
=> -3x2 + 12x - 9 = 0
=> -3x2 + 3x + 9x - 9 = 0
=> -3x(x - 1) + 9(x - 1) = 0
=> (-3x + 9)(x - 1) = 0
=> -3(x - 3)(x - 1) = 0
=> (x - 3)(x - 1) = 0
=> \(\orbr{\begin{cases}x-3=0\\x-1=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=3\\x=1\end{cases}}\)
Vậy ...
c) C = 0
=> 10x2 - 7x - 3 = 0
=> 10x2 - 10x + 3x - 3 = 0
=> 10x(x - 1) + 3(x - 1) = 0
=> (10x + 3)(x - 1) = 0
=> \(\orbr{\begin{cases}10x+3=0\\x-1=0\end{cases}}\)
=> \(\orbr{\begin{cases}10x=-3\\x=1\end{cases}}\)
=> \(\orbr{\begin{cases}x=-\frac{3}{10}\\x=1\end{cases}}\)
d) D = 0
=> -7x4 + 10x3 - 3x2 = 0
=> x2(-7x2 + 10x - 3) = 0
=> x2(-7x2 + 7x + 3x - 3) = 0
=> x2.[-7x(x - 1) + 3(x - 1)] = 0
=> x2.(-7x + 3)(x - 1) = 0
=> x^2 = 0
-7x + 3 = 0
hoặc x - 1 = 0
=> x= 0
-7x = -3
hoặc x = 1
=> x = 0
hoặc x = 3/7
hoặc x = 1
Vậy ...
\(1.6x\left(x-10\right)-2x+20=0\)
⇔\(6x\left(x-10\right)-2\left(x-10\right)=0\)
⇔ \(2\left(x-10\right)\left(3x-1\right)=0\)
⇔ x = 10 hoặc x = \(\dfrac{1}{3}\)
KL....
\(2.3x^2\left(x-3\right)+3\left(3-x\right)=0\)
⇔ \(3\left(x-3\right)\left(x^2-1\right)=0\)
⇔ \(x=+-1\) hoặc \(x=3\)
KL....
\(3.x^2-8x+16=2\left(x-4\right)\)
⇔ \(\left(x-4\right)^2-2\left(x-4\right)=0\)
⇔ \(\left(x-4\right)\left(x-6\right)=0\)
⇔ \(x=4\) hoặc \(x=6\)
KL.....
\(4.x^2-16+7x\left(x+4\right)=0\)
\(\text{⇔}4\left(x+4\right)\left(2x-1\right)=0\)
⇔ \(x=-4hoacx=\dfrac{1}{2}\)
KL.....
\(5.x^2-13x-14=0\)
⇔ \(x^2+x-14x-14=0\)
\(\text{⇔}\left(x+1\right)\left(x-14\right)=0\)
\(\text{⇔}x=14hoacx=-1\)
KL......
Còn lại tương tự ( dài quá ~ )
một đòn bẫy dài một mét .đặt ở đâu để có thể dùng 3600n có thể nâng tảng đá nặng 120kg?
làm khuyến mại 1 câu;
a) = 12x2 -12x2 +20x -10x +17 =0
10x = -17
x = -17/10
\(\left(10x^3-3x^2-x-3+12x^4\right):\left(x+1+3x^2\right)\)
\(=\left[4x^2\left(3x^2+x+1\right)+2x\left(3x^2+x+1\right)-3\left(3x^2+x+1\right)\right]:\left(3x^2+x+1\right)\)
\(=\left(4x^2+2x-3\right)\left(3x^2+x+1\right):\left(3x^2+x+1\right)=4x^2+2x-3\)