Math 2 question

Question

What is the nature of the roots for y=2x^2-5 ?

Please help!



Answer 1

The "roots" of a function are where it crosses the x-axis, or where y = 0. Consequently, just set y = 0 in your function to get: 0 = 2x² - 5 then solve for x.

0 = 2x² - 5

5 = 2x²

5/2 = x²

x = +/- sqrt(5/2) = +/- sqrt(10)/2

So the roots are real numbers that are irrational.