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27 July, 08:23

How many, and what type of, solutions does y=x^2-8x+2 have?

2 nonreal solutions

1 rational solution

2 rational solutions

2 irrational solutions

+4
Answers (1)
  1. 27 July, 08:28
    0
    The answer to your question is 2 rational solutions.

    Step-by-step explanation:

    Equation

    y = x² - 8x + 2

    Solve using the general formula

    x = [8 ± √ (-8) ² - 4 (1) (2) ] / 2 (1)

    Simplification

    x = [8 ± √64 - 8] / 2

    x = [8 ± √56] / 2

    x = [8 ± 2√14]2

    x₁ = 4 + √14 x₂ = 4 - √14

    As √14 is positive, we conclude that the equation has two rational solutions.
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