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Solve using the quadratic formula.\newline2h2+4h+2=02h^2 + 4h + 2 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlineh=h = _____ or h=h = _____

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Q. Solve using the quadratic formula.\newline2h2+4h+2=02h^2 + 4h + 2 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlineh=h = _____ or h=h = _____
  1. Identify values of aa, bb, cc: Identify the values of aa, bb, and cc in the quadratic equation 2h2+4h+2=02h^2 + 4h + 2 = 0. The quadratic equation is in the form ah2+bh+c=0ah^2 + bh + c = 0. Comparing this with our equation, we get: a=2a = 2 b=4b = 4 bb00
  2. Substitute values into formula: Substitute the values of aa, bb, and cc into the quadratic formula to find hh. The quadratic formula is h=−b±b2−4ac2ah = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}. Substituting the values we get: h=−(4)±(4)2−4⋅2⋅22⋅2h = \frac{-(4) \pm \sqrt{(4)^2 - 4\cdot2\cdot2}}{2\cdot2}
  3. Simplify discriminant: Simplify the expression under the square root (the discriminant). (4)2−4⋅2⋅2=16−16=0\sqrt{(4)^2 - 4\cdot 2\cdot 2} = \sqrt{16 - 16} = \sqrt{0}
  4. Find real solution for hh: Since the discriminant is 00, there is only one real solution for hh.h=−4±04h = \frac{-4 \pm \sqrt{0}}{4}h=−4±04h = \frac{-4 \pm 0}{4}h=−44h = \frac{-4}{4}
  5. Simplify expression for hh: Simplify the expression to find the value of hh.h=−44h = \frac{-4}{4}h=−1h = -1

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