How many times does the quadratic function below intersect the x-axis? y=x+10x+25
1 answer:
Answer:
It touches the x-axis once, but does not intersect it
Step-by-step explanation:
I'm assuming it's supposed to be y = x² + 10x + 25. This equation does not intersect the x-axis, but it does touch the x-axis.
Solve the equation for x...
0 = x² + 10x + 25
factor...
0 = (x + 5)(x + 5)
The solution repeats, this means that the function touches the x-axis and then bounces off, but doesn't intersect it. Intersect meant to cross the line, here it just touches it.
See the attached photo to see the graph...
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4
