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Step-by-step explanation:

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Answer:

  • x = 1/5

Step-by-step explanation:

Given

  • Parabola y = 5x² -2x + 3

To find

  • The equation of the line of symmetry

Solution

The line of symmetry passes through the vertex of the parabola

The vertex is determined by the formula:

  • x = -b/2a
  • Where b and a are constants from the standard form of ax² + bx + c = 0

Substituting values from the given equation:

  • x = -(-2)/2(5) = 1/5
  • x = 1/5 is the line of symmetry
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