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Solve using the quadratic formula.\newlined2+4d+4=0d^2 + 4d + 4 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlined=d = _____ or d=d = _____

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Q. Solve using the quadratic formula.\newlined2+4d+4=0d^2 + 4d + 4 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlined=d = _____ or d=d = _____
  1. Identify values of aa, bb, cc: Identify the values of aa, bb, and cc in the quadratic equation d2+4d+4=0d^2 + 4d + 4 = 0. Compare d2+4d+4=0d^2 + 4d + 4 = 0 with the standard form ax2+bx+c=0ax^2 + bx + c = 0. a=1a = 1 bb00 bb11
  2. Substitute values into quadratic formula: Substitute the values of aa, bb, and cc into the quadratic formula to find dd. The quadratic formula is d=−b±b2−4ac2ad = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}. d=−(4)±(4)2−4⋅(1)⋅(4)2⋅(1)d = \frac{-(4) \pm \sqrt{(4)^2 - 4\cdot(1)\cdot(4)}}{2\cdot(1)}
  3. Simplify expression under square root: Simplify the expression under the square root (the discriminant). (4)2−4⋅(1)⋅(4)=16−16=0\sqrt{(4)^2 - 4\cdot(1)\cdot(4)} = \sqrt{16 - 16} = \sqrt{0}
  4. Continue simplifying quadratic formula: Continue simplifying the quadratic formula with the values found.\newlined=−4±02d = \frac{-4 \pm \sqrt{0}}{2}\newlineSince 0=0\sqrt{0} = 0, the equation simplifies to:\newlined=−4±02d = \frac{-4 \pm 0}{2}
  5. Solve for two possible values: Solve for the two possible values of dd.d=(−4+0)/2d = (-4 + 0) / 2 or d=(−4−0)/2d = (-4 - 0) / 2Both expressions simplify to the same value:d=−4/2d = -4 / 2d=−2d = -2

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