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Solve using the quadratic formula.\newline5y2+9y+4=05y^2 + 9y + 4 = 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.\newline5y2+9y+4=05y^2 + 9y + 4 = 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. Plug into quadratic formula: Plug aa, bb, and cc into the quadratic formula y=−b±b2−4ac2ay = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.\newliney=−(9)±(9)2−4⋅5⋅42⋅5.y = \frac{-(9) \pm \sqrt{(9)^2 - 4\cdot5\cdot4}}{2\cdot5}.
  2. Simplify square root: Simplify inside the square root: 81−80\sqrt{81 - 80}.\newline81−80=1\sqrt{81 - 80} = \sqrt{1}.
  3. Calculate possible solutions: Now we have y=−9±110y = \frac{-9 \pm \sqrt{1}}{10}.\newlineCalculate the two possible solutions for yy.\newliney=−9+110y = \frac{-9 + 1}{10} or y=−9−110y = \frac{-9 - 1}{10}.
  4. Simplify solutions: Simplify both solutions.\newliney=−810y = \frac{-8}{10} or y=−1010y = \frac{-10}{10}.\newliney=−45y = -\frac{4}{5} or y=−1y = -1.
  5. Round to nearest hundredth: Round the values of yy to the nearest hundredth, if needed.y=−0.8y = -0.8 or y=−1.00y = -1.00.

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