Q4. Solve by Square Root Method:

Background

Topic: Quadratic Equations – Square Root Method

This question tests your ability to solve a quadratic equation by isolating the squared term and then applying the square root property.

Key Terms and Formulas:

• Quadratic Equation: An equation of the form .

• Square Root Property: If , then .

Step-by-Step Guidance

1. Subtract 4 from both sides to isolate the quadratic term: .

2. Simplify the right side: .

3. Divide both sides by 2 to solve for : .

4. Now, apply the square root property to solve for .

Try solving on your own before revealing the answer!

Q5. Solve by Square Root Method:

Background

Topic: Quadratic Equations – Square Root Method

This question tests your ability to solve a quadratic equation where the variable is inside a binomial squared.

Key Terms and Formulas:

• Square Root Property: If , then .

Step-by-Step Guidance

1. Apply the square root property to both sides: .

2. Simplify to get two possible values for .

3. Solve for by subtracting 3 from both possible values.

Try solving on your own before revealing the answer!

Q6. Solve by Square Root Method:

Background

Topic: Quadratic Equations – Square Root Method

This question tests your ability to solve a quadratic equation by isolating the squared term and then applying the square root property, including handling constants and coefficients.

Key Terms and Formulas:

• Square Root Property: If , then .

• Solving for when the variable is inside a binomial squared.

Step-by-Step Guidance

1. Add 48 to both sides to isolate the squared term: .

2. Apply the square root property: .

3. Simplify (factor it if possible).

4. Solve for by first adding 5 to both sides, then dividing by 4.

Try solving on your own before revealing the answer!