How To Solve Simple Quadratic Equations | Summary and Q&A

TL;DR

Learn how to solve simple quadratic equations by finding the values of x using square roots and basic algebraic operations.

Key Insights

• 🫚 Quadratic equations can be solved by using square roots and performing basic algebraic operations.
• ❎ The solutions to quadratic equations may include both positive and negative values.
• ❎ Imaginary solutions can occur when the square root of a negative number is taken.
• 🫚 Taking the square root of a fraction involves finding the square root of each number separately.

Transcript

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Questions & Answers

Q: How do you solve x squared - 4 = 0?

To solve this equation, add 4 to both sides, take the square root, and get x = 2 or x = -2.

Q: Can you solve the equation 2x squared + 9 = 0?

Yes, to solve this equation, subtract 9 from both sides, divide by 2, take the square root, and find x = √9/2 or x = -√9/2.

Q: What is the solution to 3x squared = 48?

To solve this equation, divide both sides by 3, take the square root of 16, and obtain x = √16/3 or x = -√16/3.

Q: How can you solve the equation x squared + 16 = 25?

Subtract 16 from both sides, take the square root of 9, and get x = √9 or x = -√9, which simplifies to x = 3 or x = -3.

Summary & Key Takeaways

• To solve x squared = 36, take the square root of both sides and get x = 6 or x = -6.

• For x squared - 81 = 0, add 81 to both sides, take the square root, and find x = 9 or x = -9.

• When solving 4x squared - 49 = 0, add 49 to both sides, divide by 4, take the square root, and obtain x = 7/2 or x = -7/2.