The solutions of the quadratic equation using the quadratic formula is x = 3 + 2√2 and x = 3 - 2√2
<h3>Solving Quadratic equation using the Quadratic formula</h3>
From the question, we are to solve the given quadratic equation using the quadratic formula
The given quadratic equation is
x² - 6x + 1 = 0
Using the quadratic formula,
x = [-b±√(b² - 4ac)] / 2a
a = 1, b = -6, and c = 1
Thus,
x = [-(-6) ±√((-6)² - 4(1)(1))] / 2(1)
x = [6 ±√(36 - 4)] / 2
x = [6 ±√(32)] / 2
x = [6 ± 4√2] / 2
x = [2(3 ± 2√2)] / 2
x = 2(3 ± 2√2) / 2
x = (3 ± 2√2)
x = 3 + 2√2 and 3 - 2√2
Hence, the roots are 3 + 2√2 and 3 - 2√2
Learn more on Solving quadratic equations here: brainly.com/question/8649555
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