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Solve using the quadratic formula.\newlinej2−7j−8=0j^2 - 7j - 8 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinej=j = _____ or j=j = _____

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Q. Solve using the quadratic formula.\newlinej2−7j−8=0j^2 - 7j - 8 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinej=j = _____ or j=j = _____
  1. Identify values of aa, bb, and cc: Identify values of aa, bb, and cc from the equation j2−7j−8=0j^2 − 7j − 8 = 0.a=1a = 1, b=−7b = -7, c=−8c = -8.
  2. Plug into quadratic formula: Plug aa, bb, and cc into the quadratic formula: j=−b±b2−4ac2aj = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.
  3. Calculate the discriminant: Calculate the discriminant: b2−4ac=(−7)2−4(1)(−8)\sqrt{b^2 - 4ac} = \sqrt{(-7)^2 - 4(1)(-8)}.
  4. Simplify the discriminant: Simplify the discriminant: 49+32=81\sqrt{49 + 32} = \sqrt{81}.
  5. Find possible values for j: Find two possible values for j: j=7±812j = \frac{7 \pm \sqrt{81}}{2}.
  6. Simplify the square root: Simplify the square root: 81=9\sqrt{81} = 9.
  7. Calculate two solutions: Calculate the two solutions: j=7+92j = \frac{7 + 9}{2} or j=7−92j = \frac{7 - 9}{2}.
  8. Simplify both solutions: Simplify both solutions: j=162j = \frac{16}{2} or j=−22j = \frac{-2}{2}.
  9. Final solutions: Final solutions: j=8j = 8 or j=−1j = -1.

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