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Juli2301 [7.4K]
4 years ago
15

What two numbers multiply to -8 and add to -4

Mathematics
1 answer:
Ronch [10]4 years ago
7 0

Answer:

  -2-2√3, -2+2√3

Step-by-step explanation:

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

  x(-4-x) = -8

  -4x -x^2 = -8 . . . . . eliminate parentheses

  x^2 +4x = 8 . . . . . . multiply by -1

  x^2 +4x +4 = 12 . . . add 4 to complete the square

  (x +2)^2 = 12

  x +2 = ±√12 = ±2√3

  x = -2±2√3

The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.

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Twice the complement of angles A is 40 less than the supplement of angle A. Find the measure of angle A
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Complement adds to 90
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2(90-A)=140-A
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minus 140 both sides
40=A

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4 0
3 years ago
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Dmitrij [34]
5.3 minutes.  
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