Y=-6x^2+100x-180 What are the zeroes of the function? Round to the nearest hundredth.

Use the quadratic formula to solve it:

Y = - 6x^2 + 100x - 180

a = - 6

b = 100

c = - 180

x = [-b + - sq root (b^2 - 4ac) ] / 2a

x = [-100 + - sq root (10,000 - 4*-6*-180) ] / - 12

x = [-100 + - sq root (10,000 - 4,320) ] / - 12

x = [-100 + - sq root (5,680) ] / - 12

x1 = (-100 + 75.3658) / - 12

x1 = 24.6342 / - 12

x1 = - 2.05285

x2 = (-100 - 75.3658) / - 12

x2 = ( - 175.3658) / - 12

x 2 = 14.6138