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

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

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Identify values of a, b, c: Identify the values of a, b, and c in the quadratic equation 8v^2 + 8v − 5 = 0. Compare 8v^2 + 8v − 5 = 0 with the standard form ax^2 + bx + c = 0. a = 8 b = 8 c = -5Substitute into quadratic formula: Substitute the values of a, b, and c into the quadratic formula v = (-b ± sqrt(b^2 - 4ac)) / (2a). Substitute a = 8, b = 8, and c = -5 into the quadratic formula. v = (-(8) ± sqrt((8)^2 - 4*8*(-5))) / (2*8)Simplify expression and calculate discriminant: Simplify the expression under the square root and calculate the discriminant sqrt(b^2 - 4ac). sqrt((8)^2 - 4*8*(-5)) = sqrt(64 + 160) = sqrt(224)Simplify quadratic formula: Simplify the quadratic formula with the calculated discriminant. v = (-8 ± sqrt(224)) / (2*8) v = (-8 ± sqrt(224)) / 16Calculate possible solutions: Calculate the two possible solutions for v. v = (-8 + sqrt(224)) / 16 or v = (-8 - sqrt(224)) / 16Simplify square root: Simplify the square root sqrt(224) and express it in simplest radical form if possible. sqrt(224) can be simplified to sqrt(16*14) which is 4*sqrt(14). So, v = (-8 + 4*sqrt(14)) / 16 or v = (-8 - 4*sqrt(14)) / 16Simplify fractions: Simplify the fractions. v = (-1/2 + sqrt(14)/4) or v = (-1/2 - sqrt(14)/4)Round values if required: Round the values of v to the nearest hundredth, if required. v ≈ -0.5 + sqrt(14)/4 or v ≈ -0.5 - sqrt(14)/4 v ≈ -0.5 + 1.87 or v ≈ -0.5 - 1.87 v ≈ 1.37 or v ≈ -2.37

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

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Solve using the quadratic formula.\newline8v2+8v−5=08v^2 + 8v - 5 = 08v2+8v−5=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinev=v = v=_____ or v=v = v=_____

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