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geniusboy [140]
2 years ago
5

Can someone please Solve 5x+x^2=36

Mathematics
2 answers:
V125BC [204]2 years ago
7 0
X = 4 AND x = -9

Good luck.
Bogdan [553]2 years ago
4 0
To make this easier, rewrite the equation in descending order:
x^{2} + 5x = 36
Then, move everything to one side by subtracting 36 from either sidex^{2} +5x-36=0
Next, factor the equation into two binomials:
(x+9)(x-4)=0
Then, split the two binomials and set them both equal to zero.
x+9=0;x-4=0
Then, simply, solve for x by isolating it:
(x+9)-9=0-9;(x-4)+4=0+4 \\ x=-9;x=4
Your two answers are x=-9 and x=4

If you're interested, you can check both answers by plugging them into the equation. 

Hope this helps!
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Suppose that you toss a fair six-sided {1,2,3,4,5,6} die and let X represent the outcome obtained. Find the expected volume of a
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Answer:

The expected volume of the box is 364 cubic inches.

Step-by-step explanation:

Since the die is fair, then P(X=k) = 1/6 for any k in {1,2,3,4,5,6}. Let Y represent the volume of the box in cubic inches. For how the box is formed, Y = X²*24. Thus, the value of Y depends directly on the value of X, and we have

  • (When X = 1) Y = 1²*24 = 24, with probability 1/6 (the same than P(X=1)
  • (When X = 2) Y = 2²*24 = 96, with probability 1/6 (the same than P(X=2)
  • (When X = 3) Y = 3²*24 = 216, with probability 1/6 (the same than P(X=3)
  • (When X = 4) Y = 4²*24 = 384, with probability 1/6 (the same than P(X=4)
  • (When X = 5) Y = 5²*24 = 600, with probability 1/6 (the same than P(X=5)
  • (When X = 6) Y = 6²*24 = 864, with probability 1/6 (the same than P(X=6)

As a consequence, the expected volume of the box in cubic inches is

E(Y) = 1/6 * 24 + 1/6*96 + 1/6*216+ 1/6*384+ 1/6*600+1/6*864 = 364

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