How to Solve Simple Quadratic Equations Step by Step

TL;DR

To solve simple quadratic equations, rearrange the equation as needed and take the square root of both sides. This often results in two solutions: one positive and one negative. For negative values under the square root, recognize that the solutions are imaginary.

Transcript

in this video we're going to focus on solving simple quadratic equations so let's say that x squared is equal to 36 what is the value of x in this problem all you need to do is take the square root of both sides what is the square root of 36 the square root of 36 is 6 or negative 6 because 6 times 6 is 36 and negative 6 times negative 6 is 36 so we... Read More

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.

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.