1)(4x+3)(5-x)-x^2=8x+19
20x-4x^2+15-3x-x^2=8x+19
-5x^2+9x-4=0
5x^2-9x+4=0
D=81-4*5*4=1
x=9+1/10=1
x2=9-1/10=8/10=4/5
Второй также
(3x-2)^2-(2x-3)^2+6=7x-5x^2
9x^2-12x+4-4x^2+12x-9+6=7x-5x^2
5x^2+1=7x-5x^2
10x^2-7x+1=0
D=49-4*10*1=V9=3
x1=7+3/ 20=1/2
x2=4/20=1/5
4)(x-4)^3 -x(x^2+39)=-54-10x^2
x^3-12x^2+48x-64-x^3-39x=-54-10x^2
-12x^2+10x^2+48x-39x-64+54=0
-2x^2 + 9x-10 =0
D=81-4*-2*-10=81-80=1
x=-9+1/-4= 1/2
x2=-9-1/-4= 10/4=5/2
1)(4x+3)(5-x)-x^2=8x+19
20x-4x^2+15-3x-x^2=8x+19
-5x^2+9x-4=0
5x^2-9x+4=0
D=81-4*5*4=1
x=9+1/10=1
x2=9-1/10=8/10=4/5
Второй также
(3x-2)^2-(2x-3)^2+6=7x-5x^2
9x^2-12x+4-4x^2+12x-9+6=7x-5x^2
5x^2+1=7x-5x^2
10x^2-7x+1=0
D=49-4*10*1=V9=3
x1=7+3/ 20=1/2
x2=4/20=1/5
4)(x-4)^3 -x(x^2+39)=-54-10x^2
x^3-12x^2+48x-64-x^3-39x=-54-10x^2
-12x^2+10x^2+48x-39x-64+54=0
-2x^2 + 9x-10 =0
D=81-4*-2*-10=81-80=1
x=-9+1/-4= 1/2
x2=-9-1/-4= 10/4=5/2