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Solve using the quadratic formula.\newline8u2−8u−4=08u^2 - 8u - 4 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlineu=u = _____ or u=u = _____

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Q. Solve using the quadratic formula.\newline8u2−8u−4=08u^2 - 8u - 4 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlineu=u = _____ or u=u = _____
  1. Identify values: Identify values of aa, bb, and cc in the quadratic equation 8u2−8u−4=08u^2 − 8u − 4 = 0.a=8a = 8, b=−8b = -8, c=−4c = -4.
  2. Plug into quadratic formula: Plug aa, bb, and cc into the quadratic formula u=−b±b2−4ac2au = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.\newlineu=−(−8)±(−8)2−4⋅8⋅(−4)2⋅8u = \frac{-(-8) \pm \sqrt{(-8)^2 - 4\cdot8\cdot(-4)}}{2\cdot8}.
  3. Simplify square root: Simplify inside the square root: (−8)2−4⋅8⋅(−4)\sqrt{(-8)^2 - 4\cdot8\cdot(-4)}.64+128=192\sqrt{64 + 128} = \sqrt{192}.
  4. Simplify equation: Simplify the equation: u=8±19216u = \frac{8 \pm \sqrt{192}}{16}.u=8±64×316u = \frac{8 \pm \sqrt{64\times3}}{16}.
  5. Simplify square root: Simplify the square root: 64×3=8×3\sqrt{64\times3} = 8\times\sqrt{3}.\newlineu=8±8×316u = \frac{8 \pm 8\times\sqrt{3}}{16}.
  6. Divide by 1616: Divide by 1616: u=1±32u = \frac{1 \pm \sqrt{3}}{2}.

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