Question

How many x-intercepts are in y=3x^2+5?

Answer 1

There are no x-intercepts.

Explanation:

To find an x intercept we have to find where y = 0

So set the equation equal to zero

`0 = 3x^(2) +5`

`-5 = 3x^(2)`

`x = \sqrt{(-5)/(3) }`

Since the number under the radical is negative, we know there are no real solutions, and therefore there are no x-intercepts.

This is shown on the graph.