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Find the zeros of y=−2(x−2)(x−10)

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6 votes

Final answer:

The zeros of the function y=-2(x-2)(x-10) are x=2 and x=10, as setting y to zero and solving the factored expression for x gives these solutions.

Step-by-step explanation:

To find the zeros of the given function y=-2(x-2)(x-10), we need to set the function equal to zero and solve for x. This means we look for values of x that make the expression on the right-hand side of the equation equal to zero.

Setting y to zero gives the equation:
0 = -2(x-2)(x-10).

Since the expression is already factored, we can directly set each factor equal to zero:
(x-2) = 0 or (x-10) = 0.

Solving these two simple equations gives us the zeros of the function:

  • x = 2
  • x = 10

User Pedro Bernardes
by
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3 votes
-2x^2+20x+4x-40=-2x^2+24x-40 don't know if this is what you want
User Johannah
by
8.6k points
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