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Solve using the quadratic formula.\newline8s2−s−8=08s^2 - s - 8 = 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.\newline8s2−s−8=08s^2 - s - 8 = 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 8s2−s−8=08s^2 − s − 8 = 0.a=8a = 8, b=−1b = -1, c=−8c = -8
  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=−(−1)±(−1)2−4⋅8⋅(−8)2⋅8s = \frac{-(-1) \pm \sqrt{(-1)^2 - 4 \cdot 8 \cdot (-8)}}{2 \cdot 8}
  4. Calculate discriminant: Simplify the equation by calculating the discriminant (the part under the square root). Discriminant = (−1)2−4⋅8⋅(−8)=1+256=257(-1)^2 - 4\cdot 8\cdot (-8) = 1 + 256 = 257
  5. Insert discriminant: Insert the discriminant back into the formula and simplify. s=1±25716s = \frac{1 \pm \sqrt{257}}{16}
  6. Calculate solutions: Calculate the two possible solutions for ss.s=1+25716s = \frac{1 + \sqrt{257}}{16} or s=1−25716s = \frac{1 - \sqrt{257}}{16}
  7. Round values: Round the values of ss to the nearest hundredth, if necessary.s≈(1+16.03)/16s \approx (1 + 16.03) / 16 or s≈(1−16.03)/16s \approx (1 - 16.03) / 16s≈17.03/16s \approx 17.03 / 16 or s≈−15.03/16s \approx -15.03 / 16s≈1.06s \approx 1.06 or s≈−0.94s \approx -0.94

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