Question

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

Answer 1

x = -4/5 and -1/2

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