-3(x+6)=-9
3(x+6)=9
(x+6)=3
x=-3
2. Decomposition factor: (3a+b) 1-a 1
=(3a+b+a)(3a+b-a)
=(4a+b)(2a+b)
3. Calculation: 2x-4x+4x-3 of 2x-6÷x-2.
=[(2x-6)/(x-2)]/[(x-3)/(x^2-4x+4)]
=[2(x-3)/(x-2)]*[(x+2)^2/(x-3)]
=2(x-2)
4. Solve the equation: 2/3 x = 3/3 x.
2/(x-3)=x-3
2=(x-3)^2
√2=x-3
X 1=-(√2)+3(√ stands for root sign)
x 1=(√2)+3
5. There is a question "Calculate: x⒉- 1 x⒉-2x+ 1 divide by x⒉+x ⒉+ 1 subtract x, where x=2007". A classmate mistakenly copied x=2007 as x=
Xχ- 1 xχ-2x+ 1 Divide by X χ+X-1Minus X.
=[(x^2-2x+ 1)/(x^2- 1)]/[(x- 1)/(x^2+x)]-x
=[(x- 1)^2/(x+ 1)(x- 1)]*[x(x+ 1)/(x- 1)]-x
=x-x
=0
6. Using the factorization factor, it is proved that 25χ-5⒓ can be divisible by 24.
Proof = 25 7-5 12
=(5^7)^2-5^ 12
=5^ 14-5^ 12
=5^ 12(5^2- 1)
=5^ 12*24
So 25χ-5⒓ can be divisible by 24.
7. Solving inequality group: 5x-6≤2(x+3) ①
4 x minus 1 < 3 x-3 ②
Simplify, acquire
x≤4
Simplify 2, get
x & gt24
This topic is an empty set (there is no solution to this problem)