Quadratic Equations Quiz

This video tutorial focuses on solving simple quadratic equations using various methods. It begins with solving x^2 = 36 by taking the square root of both sides, yielding two solutions: 6 and -6. The tutorial progresses to more complex equations, such as x^2 - 81 = 0 and 4x^2 - 49 = 0, demonstrating additional steps like adding constants and dividing. It also covers equations with imaginary solutions, such as x^2 + 4 = 0, and explains the concept of imaginary numbers. The video concludes with examples involving binomial squares and fractions, providing a comprehensive overview of solving quadratic equations.

What are the solutions for x in the equation x^2 = 36?

• 12 and -12

• 18 and -18

• 36 and -36

• 6 and -6

How do you solve the equation x^2 - 81 = 0?

• Divide both sides by 81

• Add 81 to both sides

• Multiply both sides by 81

• Subtract 81 from both sides

What is the first step in solving 4x^2 - 49 = 0?

• Divide both sides by 4

• Subtract 49 from both sides

• Multiply both sides by 4

• Add 49 to both sides

What is the square root of 49/4?

• 7/2 and -7/2

• 49/2 and -49/2

• 7/4 and -7/4

• 49/4 and -49/4

What type of solution do you get when solving x^2 + 4 = 0?

• Rational

• Complex

• Imaginary

• Real

What is the imaginary unit 'i' equivalent to?

• Square root of 2

• Square root of 0

• Square root of 1

• Square root of -1

What are the solutions for x in the equation (x - 5)^2 = 9?

• 3 and -3

• 5 and -5

• 8 and 2

• 9 and -9

What is the first step in solving (x - 5)^2 = 9?

• Take the square root of both sides

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 5

What is the square root of 25/16?

• 25/16 and -25/16

• 5/4 and -5/4

• 25/4 and -25/4

• 5/16 and -5/16

What are the solutions for y in the equation (y + 3/4)^2 = 25/16?

• 5/4 and -5/4

• 3/4 and -3/4

• 1/2 and -2

• 2 and -2