Answer:
x = -1 + sqrt(78)/6
x = -1 - sqrt(78)/6
Explanation:
Zeros are the x-values where the function is 0
f(x) = 0
6x² + 12x - 7 = 0
a = 6, b = 12, c = -7
Using Quadratic formula:
x = [-12 +- sqrt(12² - 4(6)(-7)]/2(6)
x = [-12 +- sqrt(312)]/12
x = [-12 + 2sqrt(78)]/12
x = -1 +- sqrt(78)/6