Question

Solve each of the quadratic equations below. Describe what the solution represent to the graph of each.
x^2 − 25 = 0 and x^2 = 2x + 15

Answer 1

1) \[x^2-25=0\]
\[(x+5)(x-5)=0\]
\[x=-5, 5\]
This means that the parabola will have 2 x-intercepts at x= -5 and x=5

2) \[x^2=2x+15\]
\[x^2-2x-15=0\]
\[(x-5)(x+3)=0\]
\[x=5,-3\]
This means that the parabola will have 2 x-intercepts at x=5 and x=-3

Hope this helps :)