How many x-intercepts does the graph of y=2x^2-8x+5 have?

Question

asked Mar 6, 2019 213k views

1 Answer

Kjpires · Answer 1 · 2019-03-11T05:40:44+0000

It depends on the number of real roots of the polynomial.

$\Delta=(-8)^2-4\cdot2\cdot5=64-40=24$

The discriminat is greater than zero, so there are two roots, and therefore there are two x-intercepts.