1.

Область определения x ≠ -4x^2 + 7x + 12 = 0D = 7^2 - 4*1*12 = 49 - 48 = 1x1 = (-7 - 1)/2 = -8/2 = -4 - не подходитx2 = (-7 + 1)/2 = -6/3 = -3 - подходит.2.
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Область определения x ≠ 53x^2 - 16x + 5 = 0D = 16^2 - 4*3*5 = 256 - 60 = 196 = 14^2x1 = (16 - 14)/6 = 2/6 = 1/3 - подходитx2 = (16 + 14)/6 = 30/6 = 5 - не подходит3.
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Область определения: x ≠ -5

x^2 + x - 6 = 0D = 1 - 4*1(-6) = 1 = 24 = 25 = 5^2x1 = (-1 - 5)/2 = -6/2 = -3 - подходитx2 = (-1 + 5)/2 = 4/2 = 2 - подходит4.
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Область определения: x ≠ 4

2x^2 + 2x = 0D = 2^2 - 4*2*0 = 4 = 2^2x1 = (-2 - 2)/4 = -1 - подходитx2 = (-2 + 2)/4 = 0 - подходит5.

Область определения: x ≠ 02x + 15 = x^2x^2 - 2x - 15 = 0D = 2^2 - 4*1*(-15) = 4 + 60 = 64 = 8^2x1 = (2 - 8)/2 = -6/2 = -3 - подходитx2 = (2 + 8)/2 = 10/2 = 5 - подходит6.

Область определения: x ≠ 0; x ≠ -2
+3x}{x(x+2)} =4)
3x + 6 + 3x = 4x(x + 2)0 = 4x^2 + 8x - 6x - 64x^2 + 2x - 6 = 02x^2 + x - 3 = 0D = 1 - 4*2(-3) = 1 + 24 = 25 = 5^2x1 = (-1 - 5)/4 = -6/4 = -3/2 - подходитx2 = (-1 + 5)/4 = 4/4 = 1 - подходит