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bezimeni [28]
3 years ago
10

Solve the equation exactly in the complex number system. x^3+4x^2+9x+36=0

Mathematics
1 answer:
daser333 [38]3 years ago
5 0
Factor by grouping.
  0 = (x^3 +4x^2) +(9x +36) = x^2(x+4) +9(x+4) = (x^2+9)(x+4)

The first factor is the difference of squares (in complex numbers), so the form for factoring that can be used:
  a^2 - b^2 = (a -b)(a +b)
Here, a=x, b=3i.

Then the factorization in complex numbers is
  0 = (x -3i)(x +3i)(x +4)
Solutions are the values of x that make these factors be zero.

  x = -4, -3i, 3i
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To find slope given two points, there is a formula you can use: (y2-y1)/(x2-x1). Y2 stands for the second y coordinate and y1 stands for the first y coordinate. The same logic applies to the x's. Let's assume that (3, -2) is x1, y1 and (4,7) is x2, y2. Let's plug them into the formula.

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Now we divide them.
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5 0
3 years ago
Lesson 16
Goshia [24]

Answer:

546 ft³

Step-by-step explanation:

In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.

Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²

Area of the rectangle: 1.5*11 = 16.5 ft²

Total area: 120 + 16.5 = 136.5 ft²

Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³

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Which pair of equations are examples of inverse operations
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Write a translation rule that maps point d(7 -3) onto point d'(2 5)
Tems11 [23]

Answer:

translate (x,y) (x-5,y+8)

4 0
3 years ago
May someone please help me, please? This is about exponents by the way. About 5 questions I need help with.
Phantasy [73]

Answer:

16=16^1

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Step-by-step explanation:

5 0
3 years ago
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