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Solve using the quadratic formula.\newline2s2+9s+9=02s^2 + 9s + 9 = 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+9=02s^2 + 9s + 9 = 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+9=02s^2 + 9s + 9 = 0.a=2a = 2, b=9b = 9, c=9c = 9
  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(2)(9)2(2)s = \frac{{-(9) \pm \sqrt{{(9)^2 - 4(2)(9)}}}}{{2(2)}}
  4. Simplify discriminant: Simplify the expression under the square root (the discriminant). (9)2−4(2)(9)=81−72=9\sqrt{(9)^2 - 4(2)(9)} = \sqrt{81 - 72} = \sqrt{9}
  5. Calculate possible values: Calculate the two possible values for ss.s=−9±94s = \frac{{-9 \pm \sqrt{9}}}{{4}}s=−9±34s = \frac{{-9 \pm 3}}{{4}}
  6. Find solutions: Find the two solutions by performing the addition and subtraction.\newlines = (−9+3)/4(-9 + 3) / 4 or s = (−9−3)/4(-9 - 3) / 4\newlines = −6/4-6 / 4 or s = −12/4-12 / 4
  7. Simplify fractions: Simplify the fractions to get the final answers. s=−32s = -\frac{3}{2} or s=−3s = -3

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