Answer:
x = 6 and x = -1.
Explanation:
the expression x^2 - 5x - 6 represents a quadratic equation. To find its solutions, we can use the quadratic formula: 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, the coefficients are a = 1, b = -5, and c = -6. Plugging these values into the quadratic formula, we get:
x = (-(-5) ± √((-5)^2 - 4(1)(-6))) / (2(1))
= (5 ± √(25 + 24)) / 2
= (5 ± √49) / 2
= (5 ± 7) / 2
So the solutions to the equation x^2 - 5x - 6 = 0 are x = (5 + 7) / 2 = 6 and x = (5 - 7) / 2 = -1.
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