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juin [17]
3 years ago
13

Given a quadratic equation px^2 + 8x + 2 does not have real roots. Determine the range of the values of p.

Mathematics
1 answer:
Verdich [7]3 years ago
3 0

Step-by-step explanation:

For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.

For px² + 8x + 2 = 0,

We have a = p, b = 8 and c = 2.

=> (8)² - 4(p)(2) < 0

=> 64 - 8p < 0

=> 8p > 64

=> p > 8

Hence the range for p is p > 8.

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Answer: 18 1/6 feet

Step-by-step explanation:

From the question, we are informed that the rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet.

The perimeter would be calculated as:

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= 2 × 109/12

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= 18 1/6 feet

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