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Solve using the quadratic formula.\newline8y2−9y+2=08y^2 - 9y + 2 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newliney=y = _____ or y=y = _____

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Q. Solve using the quadratic formula.\newline8y2−9y+2=08y^2 - 9y + 2 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newliney=y = _____ or y=y = _____
  1. Identify coefficients: Identify the coefficients aa, bb, and cc in the quadratic equation 8y2−9y+2=08y^2 − 9y + 2 = 0.a=8a = 8, b=−9b = -9, c=2c = 2
  2. Write quadratic formula: Write down the quadratic formula: y=−b±b2−4ac2ay = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.
  3. Substitute values: Substitute the values of aa, bb, and cc into the quadratic formula.\newliney=−(−9)±(−9)2−4⋅8⋅22⋅8y = \frac{-(-9) \pm \sqrt{(-9)^2 - 4 \cdot 8 \cdot 2}}{2 \cdot 8}\newliney=9±81−6416y = \frac{9 \pm \sqrt{81 - 64}}{16}
  4. Simplify expression: Simplify the expression under the square root and the fraction.\newliney=9±1716y = \frac{9 \pm \sqrt{17}}{16}
  5. Calculate solutions: Calculate the two possible solutions for yy.y=9+1716y = \frac{9 + \sqrt{17}}{16} or y=9−1716y = \frac{9 - \sqrt{17}}{16}
  6. Round values: Round the values of yy to the nearest hundredth, if required.y≈(9+4.12)/16y \approx (9 + 4.12) / 16 or y≈(9−4.12)/16y \approx (9 - 4.12) / 16y≈13.12/16y \approx 13.12 / 16 or y≈4.88/16y \approx 4.88 / 16y≈0.82y \approx 0.82 or y≈0.31y \approx 0.31

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