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The first step is to identify the values of a, b, and c in the quadratic equation. In this case, a = 1, b = 3, and c = -4.
Next, substitute these values into the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values, we get:
x = (-(3) ± √((3)^2 - 4(1)(-4))) / (2(1))
Simplify inside the square root:
x = (-3 ± √(9 + 16)) / 2
Combine like terms inside the square root:
x = (-3 ± √(25)) / 2
Since the square root of 25 is 5, we have:
x = (-3 ± 5) / 2
This gives us two possible solutions:
x = (-3 + 5) / 2 (which simplifies to x = 2/2)
x = (-3 - 5) / 2 (which simplifies to x = -8/2)