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yghk9
@yghk9
July 2021
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Помогите срочно Решить
Вправа 716 срочно
надо найти дискриминант
срочно 20 балов
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Ivettaaa
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А) 2(12x²+x-10)=-5
24x²+2x-20=-5
24x²+2x-15=0
D=b²-4ac=4-4×24×(-15)=4+1440=1444 √1444=38
x₁=͟ ͟͟-͟2͟͟͟-͟͟3͟͟8 = ͟-͟4͟0͟ = -1
48 40
x₂= ͟-͟2͟+͟3͟͟8͟ = ͟3͟6 = 0,9
40 40
Ответ:x₁=-1; x₂=0,9.
б) 5(x²-2)=x(1-x)+10x
5x²-10=x-x²+10x
5x²+x²-x-10x-10=0
6x²-11x-10=0
D=b²-4ac=(-11)²-4×6×(-10)=121+160=361 √361=19
x₁= ͟1͟1͟-͟͟1͟9 = ͟͟-͟8͟ = ͟-͟2͟͟
12 12 3
x₂= ͟1͟1͟+͟1͟9͟͟ = ͟3͟0͟ = ͟5͟ = 2,5
12 12 6
Ответ: x₁= ͟-͟2͟ ; x₂= 2,5.
в) (2x+3)²+2x²=-12x-(x-2)²
4x+9+2x²= -12x-x²+4
2x²+x²+4x+12x+9x-4=0
3x²+16x+5=0
D=b²-4ac=16²-4×3×5=256-60=196 √196=14
x₁= ͟͟-͟1͟6͟͟-͟1͟͟4͟ = ͟-͟3͟0͟ = -5
6 6
x₂= ͟-͟1͟6͟+͟1͟4͟ = ͟-͟2͟ = ͟-͟1͟
6 6 3
Ответ: x₁= -5; x₂= ͟-͟1͟ .
3
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Answers & Comments
24x²+2x-20=-5
24x²+2x-15=0
D=b²-4ac=4-4×24×(-15)=4+1440=1444 √1444=38
x₁=͟ ͟͟-͟2͟͟͟-͟͟3͟͟8 = ͟-͟4͟0͟ = -1
48 40
x₂= ͟-͟2͟+͟3͟͟8͟ = ͟3͟6 = 0,9
40 40
Ответ:x₁=-1; x₂=0,9.
б) 5(x²-2)=x(1-x)+10x
5x²-10=x-x²+10x
5x²+x²-x-10x-10=0
6x²-11x-10=0
D=b²-4ac=(-11)²-4×6×(-10)=121+160=361 √361=19
x₁= ͟1͟1͟-͟͟1͟9 = ͟͟-͟8͟ = ͟-͟2͟͟
12 12 3
x₂= ͟1͟1͟+͟1͟9͟͟ = ͟3͟0͟ = ͟5͟ = 2,5
12 12 6
Ответ: x₁= ͟-͟2͟ ; x₂= 2,5.
в) (2x+3)²+2x²=-12x-(x-2)²
4x+9+2x²= -12x-x²+4
2x²+x²+4x+12x+9x-4=0
3x²+16x+5=0
D=b²-4ac=16²-4×3×5=256-60=196 √196=14
x₁= ͟͟-͟1͟6͟͟-͟1͟͟4͟ = ͟-͟3͟0͟ = -5
6 6
x₂= ͟-͟1͟6͟+͟1͟4͟ = ͟-͟2͟ = ͟-͟1͟
6 6 3
Ответ: x₁= -5; x₂= ͟-͟1͟ .
3