Exploring the Discriminant in Quadratic Equations

What is the main topic of today's lesson?

• Solving linear equations

• Reviewing four methods to solve quadratic equations

• Learning about trigonometry

• Studying calculus

When is the square root method most useful?

• When the equation is linear

• When there is no B value or when we have a parenthesis squared

• When there is a B value

• When the equation is cubic

What are the solutions to the equation x^2 = 25 using the square root method?

• 25 and -25

• 0 and 25

• 10 and -10

• 5 and -5

Which method involves splitting the middle term and using a box to factor?

• Factoring method

• Square root method

• Completing the square method

• Quadratic formula

What is the first step in completing the square method?

• Dividing both sides by the coefficient of x

• Multiplying both sides by 2

• Adding the C value to the other side

• Subtracting the C value from both sides

What is the quadratic formula?

• x = -b ± √(b^2 - 4ac) / 2a

• x = b ± √(b^2 - 4ac) / a

• x = b ± √(b^2 + 4ac) / 2a

• x = -b ± √(b^2 + 4ac) / a

What does the discriminant help determine?

• The number of solutions

• The type of equation

• The value of x

• The coefficient of x

If the discriminant is zero, how many solutions does the quadratic equation have?

• Two solutions

• Infinite solutions

• One solution

• No solutions

What is the discriminant of the equation 3x^2 + 6x + 2 = 0?

• 36

• 12

• 48

• 24

How many solutions does the equation x^2 + 2x - 5 = 0 have?

• Two solutions

• No solutions

• Three solutions

• One solution