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а) 5x^2+7x-6 >0
5x^2 +7x-6 = 0
D = 49 - 4×5×6 = 169
√D = 13
x = -7 + 13/10 = 3/5 = 0.6
x = -7 -13/10 = -2
Ответ: (- бесконечность; -2) (0.6; + бесконечность)
б) x^2+2x-8/x^2-2x-3 >0
x^2 +2x-8 = 0
D = 4 - 4×(-8) = 36
√D = 6
x = -2 + 6/2 = 2
x = -2 -6/2 = -4
x^2-2x-3= 0
D = 4 - 4×(-3) = 16
√D = 4
x = 2+4/2 = 3
x = 2-4/2 = -1
Ответ: (- бесконечность; -4) (-1;2) (3; + бесконечность)
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а) 5x^2+7x-6 >0
5x^2 +7x-6 = 0
D = 49 - 4×5×6 = 169
√D = 13
x = -7 + 13/10 = 3/5 = 0.6
x = -7 -13/10 = -2
Ответ: (- бесконечность; -2) (0.6; + бесконечность)
б) x^2+2x-8/x^2-2x-3 >0
x^2 +2x-8 = 0
D = 4 - 4×(-8) = 36
√D = 6
x = -2 + 6/2 = 2
x = -2 -6/2 = -4
x^2-2x-3= 0
D = 4 - 4×(-3) = 16
√D = 4
x = 2+4/2 = 3
x = 2-4/2 = -1
Ответ: (- бесконечность; -4) (-1;2) (3; + бесконечность)