5/21x(-7/4)+7/21x(-7/4)
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<=> 1/3x+5/3=9/4
<=>1/3x=7/12
<=>3x.7=12.1=12
<=>x=12/21=4/7
Vậy x=4/7
Câu 7:
\(\Leftrightarrow\left(x-2\right)\left(x-1\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=1\\x=-1\end{matrix}\right.\)
6, (x-5).(x-4)=10-2x
(x-5).(x-4)+2(x-5)=0
(x-5)(x-2)=0
=>x=5, x=2
7, (x^2+1)(x-2)+2x=4
x^3-2x^2+x-2+2x=4
x^3-2x^2+3x-2-4=0
x^3-2x^2+3x-6=0
x^2(x-2)+3(x-2)=0
(x-2)(x^2+3)=0
th1: x=2
th2: x^2+3>0 với mọi x thuộc Z
8, ( đề cs sai hông , giải hong ra:>)
a: \(81x^5-x^3\)
\(=x^3\left(81x^2-1\right)\)
\(=x^3\left(9x-1\right)\left(9x+1\right)\)
b: \(9x^2y-12xy+4y\)
\(=y\left(9x^2-12x+4\right)\)
\(=y\left(3x-2\right)^2\)
c: \(\left(5-x\right)^2-16\left(x-2\right)^2\)
\(=\left(x-5\right)^2-\left(4x-8\right)^2\)
\(=\left(x-5-4x+8\right)\left(x-5+4x-8\right)\)
\(=-3\left(x-1\right)\left(5x-13\right)\)
d: Ta có: \(9x^2-y^2-21x-7y\)
\(=\left(3x-y\right)\left(3x+y\right)-7\left(3x+y\right)\)
\(=\left(3x+y\right)\left(3x-y-7\right)\)
e: Ta có: \(-y^2+8y-16+9x^2\)
\(=-\left(y^2-8y+16-9x^2\right)\)
\(=-\left(y-4-3x\right)\left(y-4+3x\right)\)
f: Ta có: \(5x^2-4x-1\)
\(=5x^2-5x+x-1\)
\(=5x\left(x-1\right)+\left(x-1\right)\)
\(=\left(x-1\right)\left(5x+1\right)\)
Phương trình 5 x 2 + 21x − 36 = 0 có a + b + c = 5 +21 – 26 = 0 nên phương trình có hai nghiệm phân biệt là x 1 = 1 ; x 2 = - 26 5 . Khi đó B = 5. (x − 1) x + 26 5
Đáp án: C
\(=4x^4+21x^2y^2+y^4-25x^2y^2\)
\(\left(2x^2+y^2\right)-\left(5xy\right)^2\)
\(\left(2x^2+y^2-5xy\right)\left(2x^2+y^2+5xy\right)\)
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
\(\frac{2-7x}{4+21x}=\frac{5-x}{7+3x}\)
\(\Rightarrow\left(2-7x\right)\left(7+3x\right)=\left(4+21x\right)\left(5-x\right)\)
\(\Rightarrow14+6x-49x-21x^2=20-4x+105x-21x^2\)
\(\Rightarrow6x-49x-21x^2+4x-105x+21x^2=20-14\)
\(\Rightarrow-144x=6\)
\(\Rightarrow x=\frac{-1}{24}\)
\(\dfrac{5}{21}\) x (- \(\dfrac{7}{4}\)) + \(\dfrac{7}{21}\) x (- \(\dfrac{7}{4}\))
= - \(\dfrac{7}{4}\) x (\(\dfrac{5}{21}\) + \(\dfrac{7}{21}\))
= - \(\dfrac{7}{4}\) x \(\dfrac{12}{21}\)
= - 1