Question

How many times does the quadratic function below intersect the x-axis? y=x+10x+25

Answer 1

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...