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Doss [256]
4 years ago
13

2x²-12x+8 = 0 solve for x ​

Mathematics
1 answer:
Luda [366]4 years ago
6 0

Answer:

x = 3 + sqrt(5) or x = 3 - sqrt(5)

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - 12 x + 8 = 0

Divide both sides by 2:

x^2 - 6 x + 4 = 0

Subtract 4 from both sides:

x^2 - 6 x = -4

Add 9 to both sides:

x^2 - 6 x + 9 = 5

Write the left hand side as a square:

(x - 3)^2 = 5

Take the square root of both sides:

x - 3 = sqrt(5) or x - 3 = -sqrt(5)

Add 3 to both sides:

x = 3 + sqrt(5) or x - 3 = -sqrt(5)

Add 3 to both sides:

Answer: x = 3 + sqrt(5) or x = 3 - sqrt(5)

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Answer:

1. Both Dan and Tess are correct.

    Tess:

         0.15 * 24.50 = 3.675

         24.5 - 3.675 = 20.825

         0.1 * 20.825 = 2.0825

         20.825 + 2.0825 = 22.9075

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    Both Dan and Tess used methods that provided the correct answer. Both methods follow the same path, but Dan's method simply took less steps since he used percentages that would take out the correct number, unlike Tess' percentages which would give you the number that you would then need to take out.

2. First, convert Amy's and Mike's numbers to a decimal of the whole so it is easier to compare the numbers.

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    2p + 12 = 58 | Create an equation to show the prices relations

    2p = 46 | Take out the price of the concert ticket to leave us with the passes.

    p = 23 | Divide by 2 to find the cost of each pass.

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Andrea has enough money to buy up to 5 candy bars.

x ≤ 5

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4 years ago
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