Answer:
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
