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The graph of y= 3 + 2x - x^2 What are the coordinates of the root of the equation

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Answer:

To find the coordinates of the root of the equation y = 3 + 2x - x^2, we need to find the values of x where y = 0 (because the root is the point where the function intersects the x-axis). So we can set y equal to 0 and solve for x:

0 = 3 + 2x - x^2

Rearranging, we get:

x^2 - 2x - 3 = 0

We can factor the quadratic equation by finding two numbers that add up to -2 and multiply to -3. These numbers are -3 and 1, so we can write:

(x - 3)(x + 1) = 0

This equation is true when either x - 3 = 0 or x + 1 = 0. So the roots of the equation are:

x = 3 or x = -1

Therefore, the coordinates of the roots of the equation y = 3 + 2x - x^2 are (3, 0) and (-1, 0).

User Benj
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