A graph of f(x)=10x^2-11x-6 is shown on the coordinate grid. What are the zeros of f(x)?

-2/5 and 3/2
-6
-9 and 4
11/20 and -9

-2/5 and 3/2

Step-by-step explanation:

f(x)=10x²-11x-6

0=10x²-11x-6

(5x+2)(2x-3)=0

5x+2=0, 2x-3=0

5x=-2, 2x=3

x=-2/5, x=3/2

-2/5 and 3/2

Step-by-step explanation:

0 = 10x² - 11x - 6

quadratic formula

x = (11 ±√((-11)² - 4(10)(-6))) / (2(10))

x = (11 ± 19) / 20

x = 30 / 20 = 3/2

or

x = -8/20 = -2/5