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Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

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Ineq. #1:

Ineq. #2:

Ineq. #3:

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Solving Quadratic Equations Using the Quadratic Formula

When you solve an equation of the form ax² + bx + c = 0, consider the following:

â€¢ If a = 0, then the equation can be written bx + c = 0.

This is a linear equation, not a quadratic equation.

So we cannot use the quadratic formula to solve it.

â€¢ If b = 0, then the equation can be written ax² + c = 0.

We can solve using the quadratic formula with b = 0.

However, it takes fewer steps to solve this equation using the Square Root Property.

â€¢ If c = 0, then the equation can be written ax² + bx = 0.

We can solve using the quadratic formula with c = 0.

However, it takes fewer steps to solve this equation by factoring.

Note:

Hereâ€™s an example when a = 0:

3x + 5 = 0

a = 0, b = 3, c = 5

This is a linear equation.

Hereâ€™s an example when b = 0:

2x² + 5 = 0

a = 2, b = 0, c = 5

Hereâ€™s an example when c = 0:

2x² + 3x = 0

a = 2, b = 3, c = 5