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Solve using the quadratic formula.\newline5s2+9s+1=05s^2 + 9s + 1 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlines=s = _____ or s=s = _____

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Q. Solve using the quadratic formula.\newline5s2+9s+1=05s^2 + 9s + 1 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlines=s = _____ or s=s = _____
  1. Identify coefficients: Identify the coefficients aa, bb, and cc in the quadratic equation 5s2+9s+1=05s^2 + 9s + 1 = 0.\newlinea=5a = 5, b=9b = 9, c=1c = 1
  2. Write quadratic formula: Write down the quadratic formula: s=−b±b2−4ac2as = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
  3. Substitute values: Substitute the values of aa, bb, and cc into the quadratic formula.s=−(9)±(9)2−4⋅5⋅12⋅5s = \frac{{-(9) \pm \sqrt{{(9)^2 - 4\cdot 5\cdot 1}}}}{{2\cdot 5}}
  4. Calculate discriminant: Calculate the discriminant (b2−4ac)(b^2 - 4ac).\newlineDiscriminant = (9)2−4⋅5⋅1=81−20=61(9)^2 - 4\cdot 5\cdot 1 = 81 - 20 = 61
  5. Insert discriminant: Insert the value of the discriminant into the quadratic formula.\newlines=−9±612⋅5s=\frac{-9 \pm \sqrt{61}}{2 \cdot 5}
  6. Simplify expression: Simplify the expression by calculating the two possible values for ss.s=−9+6110s = \frac{{-9 + \sqrt{61}}}{{10}} or s=−9−6110s = \frac{{-9 - \sqrt{61}}}{{10}}
  7. Round values: If necessary, round the values of ss to the nearest hundredth.\newlines≈−9+7.8110s \approx \frac{-9 + 7.81} {10}\newline s≈−1.1910s \approx \frac{-1.19}{ 10}s≈−0.12s \approx -0.12\newline or s≈−16.8110s \approx \frac{-16.81}{10} s≈−1.68s \approx -1.68

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