Solve the Equation 2sqrt(3p + 5q) = sqrt(5q - 9p)

TL;DR

Eliminate square roots by squaring both sides to solve for variable little p in the equation step by step.

Transcript

hi in this problem we have an equation with square roots and we have to solve this equation for little p let's go ahead and work through it so little p is right here and it's also over here so on both sides it's trapped inside these square roots so a good first step is going to be to eliminate the square roots we can do that by squaring both sides ... Read More

Key Insights

• ❎ Squaring both sides helps eliminate square roots in equations.
• ❓ Distributing and simplifying equations is crucial in solving for variables.
• 🥺 Isolating the variable by performing inverse operations leads to finding its value.
• ❓ Understanding the steps and concepts involved in solving equations is fundamental in mathematics.
• 🤩 Dividing by a factor to cancel out its multiplication is a key technique in equation solving.
• 🦻 Visualization and organization of equations aid in the solving process.
• 🕘 Attention to detail, like distinguishing cues from nines, is essential in mathematical calculations.

Questions & Answers

Q: How do you eliminate square roots in the equation?

By squaring both sides of the equation, you can eliminate the square roots and simplify the equation for the variable little p.

Q: What is the key step after eliminating the square roots?

After eliminating the square roots, distribute the terms and simplify the equation by isolating the variable little p.

Q: How does distribution help in solving the equation?

Distribution helps in breaking down the equation into manageable parts, making it easier to concentrate on isolating the variable little p effectively.

Q: Why is dividing by 21 the final step in solving for little p?

Dividing by 21 is the final step to isolate little p because it cancels out the factor multiplied with p, giving the final value of p.

Summary & Key Takeaways

• The problem involves solving an equation with square roots to find the value of variable little p.

• Square both sides of the equation to eliminate the square roots.

• Distribute and simplify the equation to isolate little p, ultimately solving for its value.