Solve using the quadratic formula. 6x^2 − 7x − 5 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. x = _____ or x = _____

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Solve using the quadratic formula.  6x^2 − 7x − 5 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  x = _____ or x = _____

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Quadratic Formula: The quadratic formula is given by x = (-b ± √(b^2 - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0. In this case, a = 6, b = -7, and c = -5.Calculate Discriminant: First, calculate the discriminant, which is the part under the square root in the quadratic formula: b^2 - 4ac. Here, it is (-7)^2 - 4(6)(-5).Perform Calculation: Perform the calculation: 49 - (-120) = 49 + 120 = 169.Apply Discriminant: Now, apply the discriminant to the quadratic formula. The two possible solutions for x are x = (-(-7) ± √169) / (2 * 6).Simplify Equation: Simplify the equation: x = (7 ± √169) / 12.Solve for Addition: Since √169 = 13, the equation becomes x = (7 ± 13) / 12.Simplify Fraction: Now, solve for both possible values of x. First, for the addition: x = (7 + 13) / 12 = 20 / 12.Solve for Subtraction: Simplify the fraction 20 / 12 to its simplest form: x = 5 / 3.Simplify Fraction: Next, solve for the subtraction: x = (7 - 13) / 12 = -6 / 12.Simplify the fraction -6 / 12 to its simplest form: x = -1 / 2.

Solve using the quadratic formula. $\newline$ $6x^2 - 7x - 5 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $x =$ _ or $x =$ _

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Solve using the quadratic formula.\newline6x2−7x−5=06x^2 - 7x - 5 = 06x2−7x−5=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinex=x = x=_____ or x=x = x=_____

Solve using the quadratic formula. $\newline$ $6x^2 - 7x - 5 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $x =$ _ or $x =$ _