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svetlana [45]
2 years ago
11

Solve the equation. +8+3x=X-6 Ox=-18 Ox=-14 Ox=2 Ox=4

Mathematics
1 answer:
professor190 [17]2 years ago
7 0

Answer:

x=-7

Step-by-step explanation:

8+3x=x-6\\\\8+3x+6=x-6+6\\\\8+3x+6=x+0\\\\(8+6)+3x=x\\\\14+3x=x\\\\14+3x-3x=x-3x\\\\14+0=x-3x\\\\14=(1-3)x\\\\14=-2x\\\\\frac{1}{2}(14)=\frac{1}{2}(-2x)\\\\7=-x\\\\-(7)=-(-x)\\\\-7=x\\\\x=-7

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the length of a soccer pitch is 20 m less than twice its width. the area of the pitch is 6000m^2. find its dimensions.
Setler79 [48]
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:

x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
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we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
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x=60
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Solution: the length is 100 m, and the width is 60 m.

To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.


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