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Solve using the quadratic formula.\newline2s2−9s+2=02s^2 - 9s + 2 = 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.\newline2s2−9s+2=02s^2 - 9s + 2 = 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 2s2−9s+2=02s^2 − 9s + 2 = 0.a=2a = 2, b=−9b = -9, c=2c = 2
  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.\newlines=−(−9)±(−9)2−4⋅2⋅22⋅2s = \frac{-(-9) \pm \sqrt{(-9)^2 - 4\cdot2\cdot2}}{2\cdot2}\newlines=9±81−164s = \frac{9 \pm \sqrt{81 - 16}}{4}
  4. Simplify expression: Simplify the expression under the square root and the denominator. s=9±654s = \frac{9 \pm \sqrt{65}}{4}
  5. Calculate solutions: Calculate the two possible solutions for ss.s=9+654s = \frac{9 + \sqrt{65}}{4} or s=9−654s = \frac{9 - \sqrt{65}}{4}
  6. Round values: Round the values of ss to the nearest hundredth, if required.s≈(9+8.06)/4s \approx (9 + 8.06) / 4 or s≈(9−8.06)/4s \approx (9 - 8.06) / 4s≈17.06/4s \approx 17.06 / 4 or s≈0.94/4s \approx 0.94 / 4s≈4.27s \approx 4.27 or s≈0.24s \approx 0.24

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