${6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2$

Hope you could get an idea from here.

Doubt clarification - use comment section.

6 0

2 years ago

A theatre sold a total of 98 adult and senior tickets. Adult tickets sold for 12$ each and senior tickets sold for 8$ each bring

Alexus [3.1K]

Answer: 72 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of senior tickets that were sold.

A theatre sold a total of 98 adult and senior tickets. It means that

x + y = 98

x = 98 - y - - - - - - - - - - - - -1

Adult tickets sold for 12$ each and senior tickets sold for 8$ each bringing in a total of 1,072$. This means that

12x + 8y = 1072 - - - - - - - - - - - 2

Substituting equation 1 into equation 2, it becomes

12(98 - y) + 8y = 1072

1176 - 12y + 8y = 1072

- 12y + 8y = 1072 - 1176

- 4y = - 104

y = - 104/ - 4

y = 26

Substituting y = 26 into equation 1, it becomes

x = 98 - 26 = 72

5 0

3 years ago