Learn how solve a quadratic by completing the square with fractions

The video tutorial covers the process of solving quadratic equations by completing the square. It begins with grouping the first two terms and factoring, followed by handling fractions and finding common denominators. The tutorial emphasizes keeping fractions instead of converting to decimals. It then moves on to simplifying and solving the equations, introducing the concept of complex numbers, which will be covered in future lessons.

What is the first step in completing the square according to the video?

• Factor out the greatest common factor

• Find the square root of the constant term

• Group the first two terms

• Convert fractions to decimals

Why is it important to keep fractions instead of converting them to decimals?

• Decimals are not allowed in mathematics

• The process requires fractions for common denominators

• Fractions are more accurate

• Decimals are more difficult to work with

What must be done before subtracting a whole number from a fraction?

• Add the whole number to the fraction

• Multiply the fraction by the whole number

• Ensure both have the same denominator

• Convert the whole number to a decimal

What is the expression form after completing the square?

• X squared + b/2

• X + b/2 squared

• X squared + b

• X + b squared

What should be included when taking the square root of both sides of an equation?

• Both plus and minus roots

• No roots are needed

• Only the positive root

• Only the negative root