X²-8x-180
By quadratic formula

solution set={18,10}

Step-by-step explanation:

x²-8x-180

comparing the above equation with the standard quadratic ax²+bx+c=0 equation,we get

here a=1 and b=-8 and c=-180

the quadratic formula is

x=-b±√(b)²-4ac/2a

putting values in the quadratic equation

x=-(-8)±√(-8)²-4(1)(-180)/2(1)

x=8±√64+720/2

x=8±√784/2

either

x=8+√784/2                               or      x=8-√784/2

x=8+28/2                                     or       x=8-28/2

x=36/2                                      or           x=-20/2

x=18                                       or                  x=-10

solution set = {18,-10}   

i hope it will help you    

 x = 18, x = -10

Step-by-step explanation:

 x² - 8x - 180 = 0

a=1  b=-8 c=-180

Use the quadratic formula:

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x