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Даю 40 балов

1) (x - 2)^2 - (x + 3)^2 = 5(x - 2 + x + 3)(x - 2 - x - 3) = 5(2x + 1)*(-5) = 52x + 1 = -12x = -2x = -1Ответ: -1.2) (3 - x)^2 - (x + 4)^2 = 7(3 - x + x + 4)(3 - x - x - 4) = 77*(-1 - 2x) = 7-1 - 2x = 1-2x = 2x = -1Ответ: -1.3) (2x + 1)^2 - 8 = (3 - 2x)^2 (2x + 1)^2 - (3 - 2x)^2 = 8(2x + 1 + 3 - 2x)(2x + 1 - 3 + 2x) = 84*(4x - 2) = 84x - 2 = 24x = 4x = 1Ответ: 1.4) (1 - 3x)^2 - 12 = (3x + 5)^2(1 - 3x)^2 - (3x + 5)^2 = 12(1 - 3x + 3x + 5)(1 - 3x - 3x - 5) = 126*(-6x - 4) = 12-6x - 4 = 2-6x = 6x = -1Ответ: -1.5) (x^2 - 2)^2 - (x^2 - 6)^2 = 0(x^2 - 2 + x^2 - 6)(x^2 - 2 - x^2 + 6) = 0(2x^2 - 8)*4 = 02x^2 - 8 = 02x^2 = 8x^2 = 4x = +-2Ответ: -2; 2.6) (3 - x^2)^2 - (5 - x^2)^2 = 0(3 - x^2 + 5 - x^2)(3 - x^2 - 5 + x^2) = 0(8 - 2x^2)*(-2) = 08 - 2x^2 = 02x^2 = 8x^2 = 4x = +-2Ответ: -2; 2.

5)(x²-2)²-(x²-6)²=0(x²-2+x²-6)(x²-2-x²+6)=0(2x²-8)*4=02x²-8=02x²=8;x²=4;x=±26)(3-x²)²-(5-x²)²=0(3-x²+5-x²)(3-x²-5+x²)=0(8-2x²)*(-2)=08-2x²=02x²=8;x²=4;x=±23)(2x+1)²-8=(3-2x)²4x²+4x+1-8=9-12x+4x²16x=16x=14)(1-3x)²-12=(3x+5)²1-6x+9x²-12=9x²+30x+25-36x=36x=-11)(x-2)²-(x+3)²=5(x-2+x+3)(x-2-x-3)=5(2x+1)*(-5)=52x+1=-12x=-2x=-12)(3-x)²-(x+4)=7(3-x+x+4)(3-x-x-4)=77*(-2x-1)=7-2x-1=1-2x=2x=-1