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goldenfox [79]
3 years ago
12

What are the solutions of the equation x4 – 5x2 - 36 = 0? Use factoring to solve.

Mathematics
1 answer:
balandron [24]3 years ago
5 0

Answer:

x = -2i and x = 2i

x = 3 and x = - 3

Step-by-step explanation:

x^4 - 5x^2 - 36 = 0

let u = x^2 and substitute

we have:

u^2 - 5u - 36 = 0

(u - 9)(u + 4) = 0

u = 9 and u = - 4

substitute back for u

x^2 = 9

x = 3 and x = - 3

x^2 = -4 -- i am going to assume you've learned imaginary numbers; otherwise, you cannot take the square root of a negative number.

x = -2i and x = 2i

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ololo11 [35]
Paper he needs = total surface area

So to break it down into 2D shapes, that prism has 2 2D triangles, and 3 2D rectangles of different sizes.

The triangles are the same size, since you have 2, just multiply 2 by the formula for the area of a triangle: 1/2(base)(height) which is 2x1/2(5)(12) = 60

Next you'll need the area of all the rectangles: length x width. which would be (5 x 5) + (13 x 5) + (12 x 5) = 150

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7 0
3 years ago
-4x - 9(x - 2)? Need help
Veseljchak [2.6K]

Answer:

−13x+18

Step-by-step explanation:

=−4x+(−9)(x)+(−9)(−2)

=−4x+−9x+18

Combine Like Terms:

=−4x+−9x+18

=(−4x+−9x)+(18)

=−13x+18

6 0
2 years ago
Read 2 more answers
The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and
ahrayia [7]

The width of rectangle is 2\frac{1}{4} cm and length is 5\frac{5}{12} cm.

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = w+3\frac{1}{6}=w+\frac{19}{6}

Perimeter of rectangle = 15\frac{1}{3}=\frac{46}{3} cm

Perimeter = 2(Length + Width)

\frac{46}{3}=2(w+\frac{19}{6}+w)\\\\\frac{46}{3}=2(2w+\frac{19}{6})\\\\\frac{46}{3}=4w+\frac{19}{3}\\\\4w+\frac{19}{3}=\frac{46}{3}\\\\4w=\frac{46}{3}-\frac{19}{3}\\\\\ 4w=\frac{46-19}{3}\\\\4w=\frac{27}{3}\\\\4w=9

Dividing both sides by 4

\frac{4w}{4}=\frac{9}{4}\\\\w=\frac{9}{4}

Width of rectangle = \frac{9}{4}=2\frac{1}{4}\ cm

Length = w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}\\\\Length = \frac{27+38}{12}=\frac{65}{12}\\\\Length=5\frac{5}{12}\ cm

The width of rectangle is 2\frac{1}{4} cm and length is 5\frac{5}{12} cm.

Keywords: rectangle, perimeter

Learn more about perimeter at:

  • brainly.com/question/12613605
  • brainly.com/question/12700460

#LearnwithBrainly

6 0
3 years ago
Please help me need it now for work I am just dum. Here are the questions and here are the possible answers for the questions. Y
Yakvenalex [24]

Answer:

1. Given

2. Distributive property

4. Division property

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Solve for x:<br> - 11x + 32.5 &lt; 82
V125BC [204]

Answer:

x>-4.5

Step-by-step explanation:

- 11x + 32.5 < 82

Subtract 32.5 from each side

- 11x + 32.5-32.5 < 82-32.5

- 11x  < 49.5

Divide each side by -11. remembering to flip the inequality since we are dividing by a negative

-11x/-11 > 49.5/-11

x>-4.5

8 0
3 years ago
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