To find the 𝑥-intercepts of a parabola, we set 𝑦 equal to zero and solve for 𝑥.
So, the equation becomes:
0 = 𝑥2 − 10𝑥 + 16
We can factor this equation as:
0 = (𝑥 − 2)(𝑥 − 8)
To find the 𝑥-intercepts, we set each factor equal to zero:
𝑥 − 2 = 0 or 𝑥 − 8 = 0
Solving for 𝑥, we get:
𝑥 = 2 or 𝑥 = 8
Therefore, the 𝑥-intercepts of the parabola are (2, 0) and (8, 0).
A parabola is defined by the equation 𝑦 = 𝑥2 − 10𝑥 + 16
Identify the 𝑥-intercepts of the parabola.
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