By using the quadratic formula, the roots of the quadratic equation 2 · x² - 7 · x + 1 are represented by the irrational number x = (7 ± √41) / 4.
How to find the roots of quadratic equation by quadratic formula
For polynomials of the form a · x² + b · x + c = 0, the two roots can be found analytically by quadratic formula, whose expression is described below:
[tex]x = \frac{-b \pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
If we know that a = 2, b = - 7 and c = 1, then the roots of the polynomial are:
x = 7/4 ± (1/4) · √41
x = (7 ± √41) / 4
By using the quadratic formula, the roots of the quadratic equation 2 · x² - 7 · x + 1 are represented by the irrational number x = (7 ± √41) / 4.
To learn more on quadratic equations: https://brainly.com/question/17177510
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