Exploring the Quadratic Formula Through Simple Examples

ax^2 + bx = c

ax^2 + bx + c = 0

ax + bx^2 = c

a + bx + cx^2 = 0

Values of x that make the equation zero

The maximum value of x

The derivative of the equation

The integral of the equation

The constant term

The x-squared coefficient

The x coefficient

The variable under the square root

-b ± sqrt(b^2 + 4ac) / 2a

-b ± sqrt(b^2 - 4ac) / 2a

b ± sqrt(b^2 - 4ac) / 2a

-b ± sqrt(b^2 - ac) / 2a

A coefficient of x

None of the above

A variable to be added to b^2

A constant to be subtracted from b^2

It denotes an alternative method

It represents an error in calculation

It indicates two possible solutions for x

It signifies an optional step in simplification

20

16

1

36

1

-6

6

5

1 and 1/5

-1 and 1/5

1 and 2

0 and 1

None of the above

Differentiate the original equation

Substitute back into the original equation

Plot the equation on a graph