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Bot GPT 3.5 To solve the equation using the Quadratic Formula, we need to identify the values of a, b, and c from the equation ax^2 + bx + c = 0.
In this case, a = 1, b = -7, and c = -11.
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values from the equation, we have:
x = (-(-7) ± √((-7)^2 - 4(1)(-11))) / (2(1))
Simplifying further:
x = (7 ± √(49 + 44)) / 2
x = (7 ± √93) / 2
Therefore, the solutions for the equation x^2 - 7x - 11 = 0 using the Quadratic Formula are:
x = (7 + √93) / 2
x = (7 - √93) / 2