What are the zeros of the function f (x) = 10x2 + 9x + 2?

x = - 4/5 and - 1/2

Step-by-step explanation:

"Finding zeroes" means find the x-values that make f (x) = 0, so we have ...

0 = 10x² + 9x + 2

Use quadratic equation to solve ...

x = [-9 ± √ (9² - 4 (10) (2)) ]/[2 (10) ]

x = [-9 ± √ (81 - 80) ]/20

x = [-9 ± √1]/20

x = [-9 ± 1]/20

x = (-9 + 1) / 20 and (-9 - 1) / 20

x = - 8/20 and - 10/20

x = - 4/5 and - 1/2