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nikklg [1K]
3 years ago
8

(30 POINTS AND BRAINLIEST) Show all work to solve 3x^2 + 5x − 2 = 0.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0

Answer:

The answer to your question is:    (x + 2)(3x - 1) = 0

x1 = -2

x2 = 1/3

Step-by-step explanation:

                                           3x² + 5x − 2 = 0

Multiply 3 x -2 = -6

Find two numbers that added = +5 and multiply -6

These numbers are +6  and -1

Then:

                                           3x² + 6x -1x − 2 = 0

Factorize                           3x (x + 2) - 1(x + 2) = 0

Factorize again                (x + 2)(3x - 1) = 0

Finally

                         x + 2 = 0               3x - 1 = 0

                         x = -2                     x = 1/3

                                                   

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PSYCHO15rus [73]

The number of books sold is 473.

<u>Step-by-step explanation:</u>

  • The original cost of each book = $0.64
  • The selling price of each book = $0.75

The difference between the original price and selling price of the book gives the profit per book.

The profit of one book = Selling price - Original price

Let,

  • The total number of books be 'x'.
  • The number of books sold be 'y'.
  • The unsold books is 100.
  • The total profit is -12 because it was gone to a loss of $12.

Therefore, the equation is formed as

total Profit = 0.75y - 0.64x

⇒ 0.75y - 0.64x = -12 --------(1)

Total books = sold books + unsold books

x = y + 100

⇒ x-y = 100  -------(2)

Substitute x= 100+y in the eq(1),

0.75y - 0.64(100+y) = -12

0.75y - 64 -0.64y = -12

0.11y = -12 +64

y = 52 / 0.11

y = 472.7

y ≅ 473

The number of book sold is 473 books.

The total number of books is (100+473) = 573 books.

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