Solve using the quadratic formula. 5u^2 + 8u − 1 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. u = _____ or u = _____

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Solve using the quadratic formula.  5u^2 + 8u − 1 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  u = _____ or u = _____

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Quadratic Formula: The quadratic formula is given by u = (-b ± √(b^2 - 4ac)) / (2a), where a, b, and c are the coefficients from the quadratic equation au^2 + bu + c = 0. In this case, a = 5, b = 8, and c = -1.Calculate Discriminant: First, calculate the discriminant, which is the part under the square root in the quadratic formula: b^2 - 4ac. Here, it is 8^2 - 4(5)(-1) = 64 + 20 = 84.Apply Quadratic Formula: Now, apply the quadratic formula with the values of a, b, and c to find the two possible values for u. u = (-8 ± √84) / (2 * 5) u = (-8 ± √84) / 10Simplify Square Root: Simplify the square root of 84. Since 84 = 4 * 21 and √4 = 2, we can write √84 as 2√21. u = (-8 ± 2√21) / 10Split Equation: Now, split the equation into two separate equations, one for the addition and one for the subtraction. u = (-8 + 2√21) / 10 or u = (-8 - 2√21) / 10Simplify Fractions: Simplify both fractions by dividing the numerator and the denominator by 2. u = (-4 + √21) / 5 or u = (-4 - √21) / 5Round Decimal Values: If necessary, round the decimal values to the nearest hundredth. However, since the question asks for integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth, we can leave the answers in their current form as they are already in simplest radical form.

Solve using the quadratic formula. $\newline$ $5u^2 + 8u - 1 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $u =$ _ or $u =$ _

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Solve using the quadratic formula.\newline5u2+8u−1=05u^2 + 8u - 1 = 05u2+8u−1=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlineu=u = u=_____ or u=u = u=_____

Solve using the quadratic formula. $\newline$ $5u^2 + 8u - 1 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $u =$ _ or $u =$ _