Question

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

Answer 1

Answer:

There are no x-intercepts.

Step-by-step explanation:

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

So set the equation equal to zero

$0 = 3x^{2} +5$

$-5 = 3x^{2}$

$x = \sqrt{\frac{-5}{3} }$

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.