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25 April, 20:56

20 pts

im checking my answer I think its one rational solution

Describe the number and type of solution of the following equation. 6x2 - 7x - 5 = 0

No solutions.

One rational solution.

Two rational solutions.

Two irrational solutions.

+2
Answers (1)
  1. 26 April, 00:54
    0
    The answer to your question is Two rational solutions

    Step-by-step explanation:

    Quadratic equation

    6x² - 7x - 5 = 0

    Process

    - Multiply 6 by - 5

    6 x - 5 = - 30

    - Find the prime factors of - 30

    -30 2

    -15 3

    - 5 5

    1

    - Find to numbers that added gives - 7

    this numbers are (2 x 5) = - 10 and + 3

    - Write this numbers in the equation instead of - 7

    6x² - 10x + 3x - 5

    -Factor using like terms

    2x (3x - 5) + 1 (3x - 5)

    (3x - 5) (2x + 1)

    - Equal to zero

    3x - 5 = 0 2x + 1 = 0

    x₁ = 5/3 x₂ = - 1/2

    - Conclusion two rational solutions
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