Solve the quadratic equation x^2+6x+1=0. Give your answers to 2 decimal places.
Answers
Answer:
See this.
Step-by-step explanation:
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Answer:
The roots of the given quadratic equation are approximately -0.17 & -5.83.
Step-by-step explanation:
To solve the quadratic equation x^2 + 6x + 1 = 0, we can use the quadratic formula, which states that the solutions for the quadratic equation ax^2 + bx + c = 0 are given by:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Comparing this formula with our given equation, we have a = 1, b = 6, and c = 1. Substituting these values in the formula, we get:
x = (-6 ± sqrt(6^2 - 4(1)(1))) / 2(1)
x = (-6 ± sqrt(32)) / 2
x = (-6 ± 5.657) / 2
Therefore, the solutions for the given quadratic equation are:
x = (-6 + 5.657) / 2 ≈ -0.17
x = (-6 - 5.657) / 2 ≈ -5.83
Hence, the roots of the given quadratic equation are approximately -0.17 and -5.83.
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