Solution √ 3 / 3x + 3 = 2 / 3x ^ 2 - √ 3x + 1

Solution √ 3 / 3x + 3 = 2 / 3x ^ 2 - √ 3x + 1


3 / 2 on both sides
x²-2√3x=3
x²-2√3x+3=3+3
(x-√3)²=6
x-√3=±√6
x=√3+√6,x=√3-√6



Factorization factor (2x-3) (3x + 1) + (3x-5) (3-2x) = 30


(2x-3)(3x+1)+(3x-5)(3-2x)=30
6x²-7x-3-6x²-x-15=30
-8x-18=30
8x=-48
x=-6



(2x-3)(2x+3) (3x-1)^2 (-2X)(3X^2-2X+1) (2X-3)(3X+2) (X-2)(X+2)(X^2+4)
1.(2x-3)(2x+3)
2.(3x-1)^2
3.(-2X)(3X^2-2X+1)
4.(2X-3)(3X+2)
5.(X-2)(X+2)(X^2+4)
6.(X+1)^2(X-1)
7. First simplify and then evaluate: (x-1) (3x + 1) - (x + 1) ^ 2, where x = - 1


(2x-3)(2x+3)=4x²-9
(3x-1)²=9x²-6x+1
(-2x)(3x²-2x+1)=-6x³+4x²-2x
(2x-3)(3x+2)=6x²+4x-9x-6=6x²-5x-6
(x-2)(x+2)(x²+4)=(x²-4)(x²+4)=x⁴-16