Question

Прошу, решите примеры на множестве R:
1) x(x+2)-(x-3)(x+3) = 13
2) 4x(x-1)-(2x+5)(2x-5) = 1
3) (x-3)(x+4)-2(3x-2) = (x-4)²
4)(x-5)(x+2)-3(4x-3) = (x-5)²

Answer 1

1) х²+2х-(х²-9)=13
х²+2х-х²+9=13
2х=4
х= 2
2) 4х²-4х-4х²+25=1
-4х=-24
х=6
3) х²+х-12-6х+4=х²-8х+16
3х=24
х=8
4) х²-3х-10-12х+9=х²-10х+25
-2х=26
х= - 13

Answer 2

1) = x²+2x-(x²-9)=13
x²+2x-x²+9=13
2x+9=13
2x=13-9
2x=4 |:2
x=2
2) = 4x²-4x-(4x²-25)=1
4x²-4x-4x²+25=1
-4x+25=1
-4x=1-25
-4x=-24 | : -4
x=6
3) = x²+4x-3x-12-6x+4=x²-8x+16
4x-3x-12-6x+4=-8x+16
-5x+8= -8x+16
-5x+8x=16+8
3x=24 | :3
x=8
4) = x²+2x-5x-10-12x+9=x²-10x+25
2x-5x-10-12x+9=10x+25
-15x-1= -10x+25
-15x+10x=25+1
-5x=26 | : -5
x= -26 = -5 1
5 5