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aliya0001 [1]
3 years ago
5

Rewrite the function by completing the square r^2+18x+80=0

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0

Answer:

x = -10, -8

Step-by-step explanation:

x^2+18x+80=0

Subtract 80 from each side

x^2+18x=-80

Take the coefficient of x

18

Divide by 2

18/2 = 9

Square it

9^2 =81

Add 81 to each side

x^2+18x +81=-80+81

(x+ 9) ^2 = 1

Take the square root of each side

sqrt((x+ 9) ^2 )=±sqrt( 1)

x+9 = ±1

Subtract 9 from each side

x+9-9= -9 ±1

x = -9+1      x = -9-1

x = -8           x = -10

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Answer: tea = 15 rupees  per kg

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Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

<em>"Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997": </em>

2 t + 3 s =39 (a)

Where:

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  • s = price of 1 kg of sugar

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2(t1.25)+3(s1.2) = 48.30 (b)

  • <em>Solving for t in (b) </em>

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  • <em>Replacing the value of t in (b) </em>

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2 t =30

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Prices in january:

tea = 15 rupees per kg

sugar= 3 rupees per kg

Feel free to ask for more if needed or if you did not understand something.

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