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Summary: The equation -x² + 3x - 3 = 0 has the sum of the roots as 3.

Question

Summary: The equation -x² + 3x - 3 = 0 has the sum of the roots as 3.

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Solution

To find the sum of the roots of the equation -x² + 3x - 3 = 0, we can use the fact that the sum of the roots of a quadratic equation in the form ax² + bx + c = 0 is given by -b/a.

In this case, the coefficient of x is 3 and the coefficient of x² is -1. Therefore, the sum of the roots is -3/(-1), which simplifies to 3.

So, the sum of the roots of the equation -x² + 3x - 3 = 0 is 3.

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