Solve using the quadratic formula. 2p^2 + 8p − 4 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. p = _____ or p = _____

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Solve using the quadratic formula.  2p^2 + 8p − 4 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  p = _____ or p = _____

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Identify values of a, b, c: Identify the values of a, b, and c in the quadratic equation 2p^2 + 8p - 4 = 0. Compare 2p^2 + 8p - 4 = 0 with the standard form ax^2 + bx + c = 0. a = 2 b = 8 c = -4Substitute values into quadratic formula: Substitute the values of a, b, and c into the quadratic formula p = (-b ± sqrt(b^2 - 4ac)) / (2a). Substitute a = 2, b = 8, and c = -4 into the quadratic formula. p = (-(8) ± sqrt((8)^2 - 4*2*(-4))) / (2*2)Simplify expression and calculate discriminant: Simplify the expression under the square root and calculate the discriminant sqrt(b^2 - 4ac). sqrt((8)^2 - 4*2*(-4)) = sqrt(64 + 32) = sqrt(96)Simplify quadratic formula: Simplify the quadratic formula with the calculated discriminant. p = (-8 ± sqrt(96)) / (2*2) p = (-8 ± sqrt(96)) / 4Calculate two possible solutions: Calculate the two possible solutions for p. First solution: p = (-8 + sqrt(96)) / 4 Second solution: p = (-8 - sqrt(96)) / 4Simplify square root of 96: Simplify the square root of 96 to its simplest radical form if possible. sqrt(96) can be simplified because 96 is divisible by 16, which is a perfect square. sqrt(96) = sqrt(16*6) = sqrt(16) * sqrt(6) = 4 * sqrt(6)Substitute simplified square root into solutions: Substitute the simplified square root back into the solutions for p. First solution: p = (-8 + 4*sqrt(6)) / 4 Second solution: p = (-8 - 4*sqrt(6)) / 4Simplify solutions by dividing: Simplify both solutions by dividing each term by the common factor of 4. First solution: p = (-2 + sqrt(6)) Second solution: p = (-2 - sqrt(6))Round solutions if necessary: If necessary, round the solutions to the nearest hundredth. First solution: p ≈ -2 + 2.45 p ≈ 0.45 Second solution: p ≈ -2 - 2.45 p ≈ -4.45

Solve using the quadratic formula. $\newline$ $2p^2 + 8p - 4 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $p =$ _ or $p =$ _

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Solve using the quadratic formula.\newline2p2+8p−4=02p^2 + 8p - 4 = 02p2+8p−4=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinep=p = p=_____ or p=p = p=_____

Solve using the quadratic formula. $\newline$ $2p^2 + 8p - 4 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $p =$ _ or $p =$ _