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Solve the equation f(x)=-x² +2x. What is the a ten in simplest form?

User Nightking
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Final answer:

To solve the equation f(x) = -x² + 2x, set the equation equal to zero and solve for x. The solutions are x = 0 and x = 2.

Step-by-step explanation:

To solve the equation f(x) = -x² + 2x, we set the equation equal to zero and solve for x. Rearranging the equation gives us -x² + 2x = 0. To factor out an x, we rewrite the equation as x(-x + 2) = 0. This equation is now equal to zero when either x = 0 or -x + 2 = 0.

Solving -x + 2 = 0, we find x = 2. Therefore, the solutions to the equation f(x) = -x² + 2x are x = 0 and x = 2.

User Jan Myszkier
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