Learn how to complete the square to solve a quadratic

The video tutorial demonstrates solving quadratic equations by completing the square. It begins with grouping terms and factoring, followed by finding the value to complete the square. The equation is then converted to vertex form, and the process of solving for X is explained. The tutorial concludes with the final steps to find the solutions, emphasizing consistency in the method.

What is the first step in completing the square?

• Group the first two terms

• Add 49 to both sides

• Factor out the common factor

• Find the value of 'b'

Why is it unnecessary to factor out 'x' when completing the square?

• Because 'x' is equal to 1

• Because 'x' is already factored

• Because 'x' is not a common factor

• Because 'x' is part of the perfect square trinomial

How do you determine the value 'b' that completes the square?

• Divide the coefficient of 'x' by 2 and square it

• Add the coefficient of 'x' to 49

• Subtract the coefficient of 'x' from 49

• Multiply the coefficient of 'x' by 2 and square it

What should you do after adding 49 inside the parentheses?

• Subtract 49 from the other side

• Add 49 to the other side

• Subtract 49 from the same side

• Add 49 to the same side

What is the final solution format for 'x' after completing the square?

• x = 7 ± 30

• x = 7 ± sqrt(49)

• x = 7 ± 14

• x = 7 ± sqrt(30)