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Determine the coordinates of the x-intercepts and the y-intercepts of the parabola y = x^2 - 7x + 10

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Answer to a math question Determine the coordinates of the x-intercepts and the y-intercepts of the parabola y = x^2 - 7x + 10

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Bud
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96 Answers
1. \text{Find x-intercepts:}
y = 0 \Rightarrow x^2 - 7x + 10 = 0
\Rightarrow (x - 5)(x - 2) = 0
\Rightarrow x = 5 \quad \text{and} \quad x = 2
\Rightarrow \text{x-intercepts: (5, 0) and (2, 0)}

2. \text{Find y-intercept:}
x = 0 \Rightarrow y = 0^2 - 7(0) + 10 = 10
\Rightarrow \text{y-intercept: (0, 10)}

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