Understanding Second-Degree Equations

The video tutorial introduces the concept of equations, focusing on second degree equations. It explains the characteristics and structure of these equations, including how to identify coefficients. The tutorial includes a practical example involving the area of a banner to demonstrate solving a second degree equation. The video also covers the differences between complete and incomplete equations and provides methods for solving them.

What is the total area of the flag made of squares?

• 6200 cm²

• 6000 cm²

• 6144 cm²

• 6100 cm²

What is the general form of a second-degree equation?

• ax² + bx = 0

• ax + b = 0

• ax² + c = 0

• ax² + bx + c = 0

Which coefficient must be non-zero in a second-degree equation?

• None of the above

• a

• b

• c

In the equation 2x² - 8x = 0, what is the value of coefficient b?

• 8

• 0

• 2

• -8

What type of equation is 2x² - 8x = 0?

• Incomplete second-degree equation

• Complete second-degree equation

• First-degree equation

• None of the above

What is the solution to the equation x² - 25 = 0?

• x = ±5

• x = 5

• x = 0

• x = -5

What is the value of x in the equation 4x² = 36?

• x = ±3

• x = 0

• x = 3

• x = -3

When solving the equation x² - 64x = 0, what is one of the solutions?

• x = 64

• x = 0

• x = 1

• x = -64

What is the value of x in the equation 2x² - 8x = 0?

• x = 0 or x = -4

• x = -4

• x = 0 or x = 4

• x = 4

What is the length of each side of the square in the flag problem?

• 18 cm

• 14 cm

• 16 cm

• 20 cm