Question

X^2 + 10 what is the x intercept? I got sort of -10 which is an imaginary number I think

Answer 1

x-intercept means y = 0.

as y = x^2 +10

=> x^2 +10 = 0
x^2 = -10
taking square root on both sides we get an imagnary number

therefore the given equation doesnt intersect the x-axis

Answer 2

x^2 = -10
x = \(\sqrt{-10} \)
x = \(\sqrt{-1\times10}\)
x = \(\sqrt{10}\sqrt{-1}\)
x = \(\pm\sqrt{10}i\)