Question

Direction: identify whether or not the given situation illustrates quad ratic equations .justify your answer by representing each situation with a mathematical sentence.1.Mario likes to plant flowers and he is diligently looking for the dimensions of the rectangular garden that has an area of 14m and a perimeter or 18 meters .

Which of the following situations illustrates quadratic equations?

A) Mario likes to plant flowers and he is diligently looking for the dimensions of the rectangular garden that has an area of 14m and a perimeter of 18 meters.
B) Sarah is calculating the total cost of buying x number of tickets to a concert, where each ticket costs 20.
C) John is trying to find the solution to the equation x^2 + 5x + 6 = 0.
D) Emma is measuring the length of a straight road using a measuring tape.

Answer 1

The situation that illustrates quadratic equations is option C. John is trying to find the solution to the equation x² + 5x + 6 = 0. Hence the correct answer is option C

Step-by-step explanation:

The situation that illustrates quadratic equations is option C. John is trying to find the solution to the equation x² + 5x + 6 = 0.

Quadratic equations are equations of the second order, where the highest power of the variable is a square (x² in this case). They can be represented in the form ax² + bx + c = 0, where a, b, and c are constants.

In option C, the equation x² + 5x + 6 = 0 is a quadratic equation with coefficients a=1, b=5, and c=6.

Therefore, it is an example of a quadratic equation.