5. 4(2x-1)²-9(x+1)²=(x-5)(7x+1)
4(4x²-4x+1)-9(x²+2x+1)=7x²+x-35x-5
16x²-16x+4-9x²-18x-9=7x²-34x-5
7x²-34x-5=7x²-34x-5
x ∈ R
5. √3-3/2 - 1/1+√3
√3-3/2 = 1-√3/-2
√3-3/2 = 1-√3/2
(√3-3+1-√3)/2 = (-2)/2 = -1
5. E(x) = ( x²+4x+3/x+1 - 4 ) : (x-1)
E(x) = (x²+3x+x+3/x+1 - 4) : (x-1)
E(x) = (x*(x+3)+x+3/x+1 - 4):(x-1)
E(x) = ((x+1)(x+3)/x+1 -4):(x-1)
E(x) = (x+3-4):(x-1)
E(x) = x+3-4/x-1
E(x) = x-1/x-1
E(x) = 1
5. a=(√3+√2)(5-√6)+(√2-1)^2-3√3
a=5√3-√18+5√2-√12+2-2√2+1-3√3
a=5√3-3√2+5√2-2√3+2-2√2+1-3√3
a=0+0+3
a=3