Solve using the quadratic formula. 8h^2 + 2h − 4 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. h = _____ or h = _____

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Solve using the quadratic formula.  8h^2 + 2h − 4 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  h = _____ or h = _____

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Quadratic Formula Definition: The quadratic formula is given by h = (-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 = 8, b = 2, and c = -4.Calculate Discriminant: First, calculate the discriminant, which is the part under the square root in the quadratic formula: b^2 - 4ac. Here, it is 2^2 - 4(8)(-4).Discriminant Calculation: Perform the calculation: 2^2 - 4(8)(-4) = 4 + 128 = 132.Insert Values into Formula: Now, insert the values of a, b, and the discriminant into the quadratic formula: h = (-2 ± √132) / (2*8).Simplify Formula: Simplify the quadratic formula: h = (-2 ± √132) / 16.Calculate Possible Values: Calculate the two possible values for h: h = (-2 + √132) / 16 and h = (-2 - √132) / 16.Simplify Square Root: Simplify the square root of 132 to its simplest radical form, which is √(4*33) = 2√33. So, the formula becomes h = (-2 ± 2√33) / 16.Factor Out Common Factor: Now, factor out the common factor of 2 in the numerator: h = 2(-1 ± √33) / 16.Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by 2: h = (-1 ± √33) / 8.Write Solutions: Finally, write the two solutions for h: h = (-1 + √33) / 8 or h = (-1 - √33) / 8.

Solve using the quadratic formula. $\newline$ $8h^2 + 2h - 4 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $h =$ _ or $h =$ _

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Solve using the quadratic formula.\newline8h2+2h−4=08h^2 + 2h - 4 = 08h2+2h−4=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlineh=h = h=_____ or h=h = h=_____

Solve using the quadratic formula. $\newline$ $8h^2 + 2h - 4 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $h =$ _ or $h =$ _