183k views
1 vote
-
Find the zeros of the following function f (x) = 2x^2 – x – 10

User HereTrix
by
4.1k points

1 Answer

4 votes

Explanation:

the formula to find the x values to deliver y=0 results of a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a, b, c are the constant factors in the 3 terms of a squared equation.

here in our example of 2x² - x - 10

a = 2

b = -1

c = -10

x = (1 ± sqrt(1² - 4×2×-10))/(2×2) =

= (1 ± sqrt(1 + 80))/4 = (1 ± sqrt(81))/4 =

= (1 ± 9)/4

x1 = (1 + 9)/4 = 10/4 = 2 2/4 = 2 1/2 = 2.5

x2 = (1 - 9)/4 = -8/4 = -2

User Cesarggf
by
3.9k points