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BJIADA
@BJIADA
August 2022
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Решите неравенство, очень нужно
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inessa0865
Verified answer
Умножим все неравенство на 4
-(0,2х -3)² - 2(0,1x+1)(0,2x-1) < 4x
-(0,04x²-1,2x+9) -2(0,02x²+0,1x-1) < 4x
-0,04x² + 1,2x -9 - 0,04x²- 0,2x +2 < 4x
-0,08x²-3x-7 < 0
0,08x² +3x +7> 0
D = 9 - 2,24 6,76
X1 = (-3-2,6) /0,16 = -35
X2 = (-3+2,6) /0,16 = -2,5
Отв: x ∈(-∞; -35)υ(-2,5 ; +∞)
2 votes
Thanks 1
BJIADA
Объясните, почему (0,1x+1)(0,2x-1) = (0,02x²+0,1x-1)
BJIADA
.?
inessa0865
(0,1x+1)(0,2x-1) = 0,1х*0,2х +0,1х*(-1) +1*0,2х +1*(-1) = =0,02x²-0,1x+0,2х-1= 0,02x²+0,1x-1
BJIADA
спасибо)
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Answers & Comments
Verified answer
Умножим все неравенство на 4-(0,2х -3)² - 2(0,1x+1)(0,2x-1) < 4x
-(0,04x²-1,2x+9) -2(0,02x²+0,1x-1) < 4x
-0,04x² + 1,2x -9 - 0,04x²- 0,2x +2 < 4x
-0,08x²-3x-7 < 0
0,08x² +3x +7> 0
D = 9 - 2,24 6,76
X1 = (-3-2,6) /0,16 = -35
X2 = (-3+2,6) /0,16 = -2,5
Отв: x ∈(-∞; -35)υ(-2,5 ; +∞)