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Solve using the quadratic formula.\newline4u2+8u+4=04u^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.\newline4u2+8u+4=04u^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 of aa, bb, cc: Identify the values of aa, bb, and cc in the quadratic equation 4u2+8u+4=04u^2 + 8u + 4 = 0. The quadratic equation is in the form au2+bu+c=0au^2 + bu + c = 0. Here, a=4a = 4, b=8b = 8, and bb00.
  2. Substitute values into formula: Substitute the values of 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⋅4⋅42⋅4u = \frac{-(8) \pm \sqrt{(8)^2 - 4\cdot4\cdot4}}{2\cdot4}
  3. Simplify discriminant: Simplify the expression under the square root (the discriminant). (8)2−4⋅4⋅4=64−64=0\sqrt{(8)^2 - 4\cdot 4\cdot 4} = \sqrt{64 - 64} = \sqrt{0}
  4. Find real solution: Since the discriminant is 00, there is only one real solution to the equation.u=−8±08u = \frac{{-8 \pm \sqrt{0}}}{8}
  5. Simplify to find uu: Simplify the equation to find the value of uu.u=(−8±08)u = (\frac{-8 \pm 0}{8})u=−88u = \frac{-8}{8}u=−1u = -1

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