for what real values of x is the expression x^2-10x+9 positive
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The real values of x are (−∞,−1) ∪ (1,∞).
Given:
An expression x² - 10x + 9.
To Find:
The real values of x.
Solution:
To find the real values of x we will follow the following steps:
As we know,
x² - 10x + 9 > 0
x² - 9x - x + 9 > 0
x(x-9) + 1(x-9) > 0
(x+1) (x-9) ≥ 0
x < -1 and x >9
x ∈ (−∞,−1) ∪ (1,∞)
Henceforth, The real values of x are (−∞,−1) ∪ (1,∞).
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