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I. Give three examples of quadratic equations written in standard form. Identify the values of a, b, and c in each equation.

Answer:

The standard form of a complete quadratic equation is in the form

where a, b and c are numbers or numerical coefficients.

Examples:

1.

a = 1     b = 2     c = 3

2.

a = 3    b = -4    c =-5

3.

a = 2     b = 1     c = -4

II. Give a real-life situation illustrating quadratic equation.

A rectangular piece of board

A rectangular piece of board that has a measurement of 40 cm by 30 cm. is to be made into an open box with a base (bottom) of 900 by cutting equal squares from the four corners and then bending up the sides. Calculate, to the nearest tenth of a cm, the length of the square side that must be cut from each corner.

Solving, set a variable that will represent the unknown.

Let x be  the length of the side of the square

Let L be the length = L = 40 - 2x

Let W be the width = W - 30 - 2x

Solving for the area of the rectangle, that is length multiplies by width

Area = L*W

where the area is 900

Using the quadratic formula

where

a = 4     b = -140     c=300

The values of x are:

The answer of 32.71 cm must be discarded because it would lead to negative values for the rectangle's length and width.

Therefore the side of the board that was cut measures 2.29 cm in length.

To know more about quadratic equations, check

brainly.ph/question/5406350

Hope this helps! :)

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