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Solve using the quadratic formula.\newline7s2+2s−3=07s^2 + 2s - 3 = 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.\newline7s2+2s−3=07s^2 + 2s - 3 = 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. Substitute Values: Substitute the values of aa, bb, and cc into the quadratic formula, s=−b±b2−4ac2as = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.s=−(2)±(2)2−4(7)(−3)2(7)s = \frac{-(2) \pm \sqrt{(2)^2 - 4(7)(-3)}}{2(7)}
  2. Calculate Discriminant: Calculate the discriminant, which is the part under the square root in the quadratic formula: b2−4acb^2 - 4ac.\newlineDiscriminant = (2)2−4(7)(−3)=4+84=88(2)^2 - 4(7)(-3) = 4 + 84 = 88
  3. Calculate Square Root: Calculate the square root of the discriminant. 88≈9.38\sqrt{88} \approx 9.38 (rounded to the nearest hundredth)
  4. Calculate Solutions: Calculate the two possible solutions for ss using the quadratic formula.s=−(2)±9.382(7)s = \frac{{-(2) \pm 9.38}}{{2(7)}}s=−2+9.3814 or s=−2−9.3814s = \frac{{-2 + 9.38}}{{14}} \text{ or } s = \frac{{-2 - 9.38}}{{14}}s≈7.3814 or s≈−11.3814s \approx \frac{{7.38}}{{14}} \text{ or } s \approx \frac{{-11.38}}{{14}}
  5. Simplify and Round: Simplify the fractions and round to the nearest hundredth if necessary.\newlines≈0.5271s \approx 0.5271 or s≈−0.8129s \approx -0.8129\newlineRounded to the nearest hundredth:\newlines≈0.53s \approx 0.53 or s≈−0.81s \approx -0.81

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