Solve using the quadratic formula. r^2 − 3r − 7 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. r = _____ or r = _____

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Solve using the quadratic formula.  r^2 − 3r − 7 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  r = _____ or r = _____

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Quadratic Formula: The quadratic formula is given by r = (-b ± √(b^2 - 4ac)) / (2a), where a, b, and c are the coefficients from the quadratic equation ar^2 + br + c = 0. In this case, a = 1, b = -3, and c = -7.Calculate Discriminant: First, calculate the discriminant, which is the part under the square root in the quadratic formula: b^2 - 4ac. Here, it is (-3)^2 - 4(1)(-7).Discriminant Calculation: Perform the calculation: 9 - (-28) = 9 + 28 = 37. The discriminant is 37.Insert Values into Formula: Now, insert the values of a, b, and the discriminant into the quadratic formula: r = (-(-3) ± √(37)) / (2*1).Simplify Equation: Simplify the equation: r = (3 ± √(37)) / 2.Calculate First Solution: Since the discriminant is positive, there will be two real solutions. Calculate the first solution using the plus sign: r = (3 + √(37)) / 2.Calculate First Solution Value: Calculate the value of r to the nearest hundredth: r ≈ (3 + 6.08) / 2 ≈ 9.08 / 2 ≈ 4.54.Calculate Second Solution: Calculate the second solution using the minus sign: r = (3 - √(37)) / 2.Calculate Second Solution Value: Calculate the value of r to the nearest hundredth: r ≈ (3 - 6.08) / 2 ≈ -3.08 / 2 ≈ -1.54.

Solve using the quadratic formula. $\newline$ $r^2 - 3r - 7 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $r =$ _ or $r =$ _

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Solve using the quadratic formula.\newliner2−3r−7=0r^2 - 3r - 7 = 0r2−3r−7=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newliner=r = r=_____ or r=r = r=_____

Solve using the quadratic formula. $\newline$ $r^2 - 3r - 7 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $r =$ _ or $r =$ _