Practice Objectives
- Demonstrate an understanding of the square root property
- Demonstrate the ability to solve a quadratic equation of the form: x2 = k
- Demonstrate the ability to solve a quadratic equation of the form: (ax + b)2 = k
Practice Solving Quadratic Equations Using the Square Root Property
Instructions:
Answer 7/10 questions correctly to pass.
Solve each equation for x.
Formatting Notes:
- Fractions can be written using the "/" key
- Negative fractions can be written as -a/b or a/-b
- Any solution that contains a fraction must be simplified
Problem:
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The correct answer was: 0
Square Root Property:
- If x and k are complex numbers and x2 = k, then:
- $$x = \sqrt{k} \: \text{or} \: x = -\sqrt{k}$$
Extending the square root property:
- If (ax + b)2 = k, then:
- $$ax + b = \sqrt{k} \: \text{or} \: ax + b = -\sqrt{k}$$
Step-by-Step:
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a =
b =
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