Solve an equation using the square root method

This video tutorial guides viewers through solving the equation 9Q^2 + P = 885 by isolating the variable P. The instructor explains the process step-by-step, starting with undoing addition and subtraction, followed by multiplication and division. The tutorial then covers finding the square root and understanding square numbers, leading to the realization that the solution involves an irrational number. The video emphasizes the importance of considering both positive and negative square roots, providing a comprehensive understanding of the problem-solving process.

What is the first step in isolating P in the equation 9P^2 + P = 885?

• Divide both sides by 9

• Multiply both sides by 9

• Subtract 3 from both sides

• Add 3 to both sides

After subtracting 3 from both sides, what is the next operation to perform?

• Subtract 9 from both sides

• Divide both sides by 9

• Multiply both sides by 2

• Add 9 to both sides

What is the simplified form of the equation after dividing by 9?

• P = 98

• P = 882

• P^2 = 98

• P^2 = 882

Why is the square root of 98 considered an irrational number?

• Because it is a perfect square

• Because it is between two integers

• Because it is a negative number

• Because it is a rational number

When taking the square root of 98, why must both positive and negative roots be considered?

• Because only positive roots are valid

• Because only negative roots are valid

• Because both roots are possible solutions

• Because neither root is a solution