Solve using the quadratic formula. m^2 + 3m − 3 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. m = _____ or m = _____

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Solve using the quadratic formula.  m^2 + 3m − 3 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  m = _____ or m = _____

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Identify coefficients: Identify the coefficients of the quadratic equation. The quadratic equation is in the form ax^2 + bx + c = 0. For the equation m^2 + 3m − 3 = 0, the coefficients are: a = 1 (coefficient of m^2) b = 3 (coefficient of m) c = -3 (constant term)Write formula: Write down the quadratic formula. The quadratic formula is given by m = (-b ± √(b^2 - 4ac)) / (2a).Substitute coefficients: Substitute the coefficients into the quadratic formula. Using the values of a, b, and c from Step 1, we get: m = (-(3) ± √((3)^2 - 4(1)(-3))) / (2(1))Simplify square root: Simplify under the square root. Calculate the discriminant (the expression under the square root): (3)^2 - 4(1)(-3) = 9 + 12 = 21Insert discriminant: Insert the discriminant into the formula. Now we have: m = (-3 ± √21) / 2Calculate possible values: Calculate the two possible values for m. First, calculate the positive square root option: m = (-3 + √21) / 2 m ≈ (-3 + 4.58) / 2 m ≈ 1.58 / 2 m ≈ 0.79  Then, calculate the negative square root option: m = (-3 - √21) / 2 m ≈ (-3 - 4.58) / 2 m ≈ -7.58 / 2 m ≈ -3.79Round solutions: Round the solutions to the nearest hundredth. m ≈ 0.79 (rounded from 0.790569...) m ≈ -3.79 (rounded from -3.790569...)

Solve using the quadratic formula. $\newline$ $m^2 + 3m - 3 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $m =$ _ or $m =$ _

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Solve using the quadratic formula.\newlinem2+3m−3=0m^2 + 3m - 3 = 0m2+3m−3=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinem=m = m=_____ or m=m = m=_____

Solve using the quadratic formula. $\newline$ $m^2 + 3m - 3 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $m =$ _ or $m =$ _