Question

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Solve the quadratic equation using the quadratic formula.
Show exact answers in simplified radical form; no rounded decimals.

Answer 1

The solutions of the quadratic equation using the quadratic formula is x = 3 + 2√2 and x = 3 - 2√2

Solving Quadratic equation using the Quadratic formula

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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