Which of the following is a solution of x² + 14x + 112 = 0? if necessary, round to the nearest hundredth.
x = –0.24
x = –4.24
x = 4.24
there is no solution.

To determine the solution of the quadratic equation, use the quadratic formula which states that,
                                x = ((-b  +/- sqrt (b² - 4ac)) / 2a
From the equation, a = 1, b = 14, and c = 112. Substituting these to the quadratic formula,
                               x = ((-14  +/- sqrt (14² - 4(1)(12)) / 2(1) = indeterminate
Thus, the equation does not a real number solution. 

The given equation has no solution.

Step-by-step explanation:

Given the equation

we have to find the solution of the above equation.

The roots of quadratic equation is

Equation :

The roots are

     

     

Since, determinant under the root is negative

⇒ The given equation has no real solution.

Last option is correct.

Part A: Total cost = 10 + 4s

Part B: Solving for s = 2

10 + 4 * 2 = US$ 18

Correct statement and question:

Write an expression to represent admission to a zoo of $10.00 and the cost of special exhibits s at $4 each. Evaluate your expression when s = 2.

Source: https://www.slader.com/discussion/question/write-an-expression-to-represent-admission-to-a/

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Admission to the zoo = US$ 10

Special exhibit cost (s) = US$ 4

2. Evaluate your expression when s = 2

Total cost = Cost of admission + (s) * Special exhibit cost

Total cost = 10 + (s) * 4

Total cost = 10 + 4s

3. Solving for s = 2

10 + 4s

10 + 4 * 2 = US$ 18