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Solve using the quadratic formula.\newline5n2+8n−6=05n^2 + 8n - 6 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinen=n = _____ or n=n = _____

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Q. Solve using the quadratic formula.\newline5n2+8n−6=05n^2 + 8n - 6 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinen=n = _____ or n=n = _____
  1. Identify Equation: question_prompt: What are the solutions for nn using the quadratic formula for the equation 5n2+8n−6=05n^2 + 8n - 6 = 0?
  2. Apply Quadratic Formula: Plug aa, bb, and cc into the quadratic formula, n=−b±b2−4ac2an = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.
  3. Simplify Square Root: Simplify inside the square root: (8)2−4⋅5⋅(−6)\sqrt{(8)^2 - 4\cdot 5\cdot (-6)}.
  4. Calculate Solutions: Simplify the quadratic formula with the square root value.
  5. Round to Nearest Hundredth: Calculate the two possible solutions for nn.
  6. Round to Nearest Hundredth: Calculate the two possible solutions for nn. Round the values of nn to the nearest hundredth, if necessary.

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