Respuesta :
Answer:
[tex](\pm \sqrt{2}, 0)[/tex]
Step-by-step explanation:
The x intercepts are basically the points at which y = 0.
-x^2 + 2 = 0
-x^2 = -2
x^2 = 2
x = [tex]\pm \sqrt{2}[/tex]
For this case we have by definition, that to find the x-intercept points, we must make the variable y = 0 and clear the value of "x". So:
[tex]y = -x ^ 2 + 2\\0 = -x ^ 2 + 2\\x ^ 2 = 2\\x = \sqrt {2}[/tex]
So, the x-intercepts are:
[tex](x_ {1}, y_ {1}) = (\sqrt {2}, 0)\\(x_ {2}, y_ {2}) = (- \sqrt {2}, 0)[/tex]
ANswer:
[tex](x_ {1}, y_ {1}) = (\sqrt {2}, 0)\\(x_ {2}, y_ {2}) = (- \sqrt {2}, 0)[/tex]