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Foxyck
@Foxyck
June 2022
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Решите неравенства:
1) 5x^2 >= 20
2) -2x^2-6x>0
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Эксперт5
Verified answer
1) 5x²≥20
x²≥20:5
x²≥4
x²-4≥0 + - +
(x-2)(x+2)≥0 ----------------[-2]---------------[ 2]------------------
x∈(-∞;-2]U[2;+∞)
2) -2x²-6x>0 |:(-2)
x²+3x<0 + - +
x(x+3)<0 ----------------(-3)----------------(0)------------------
x∈(-3;0)
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Answers & Comments
Verified answer
1) 5x²≥20x²≥20:5
x²≥4
x²-4≥0 + - +
(x-2)(x+2)≥0 ----------------[-2]---------------[ 2]------------------
x∈(-∞;-2]U[2;+∞)
2) -2x²-6x>0 |:(-2)
x²+3x<0 + - +
x(x+3)<0 ----------------(-3)----------------(0)------------------
x∈(-3;0)