Step by step process explaining completing the square to solve

The video tutorial guides students through solving a quadratic equation by completing the square. It begins with setting up the problem and isolating variables. The process involves creating a perfect square trinomial, factoring it, and using inverse operations to solve the equation. The tutorial emphasizes understanding each step and applying the method to find the solution.

Why can't the equation v^2 + 10v - 21 be factored directly?

• The equation is not quadratic

• The equation has no real roots

• The equation is already in its simplest form

• There are no two numbers that multiply to -21 and add to 10

What is the first step in solving a quadratic equation by completing the square?

• Finding the square root

• Isolating the variable

• Factoring the equation

• Isolating the constant term

What is the value of B/2 squared in the equation v^2 + 10v - 21?

• 5

• 10

• 25

• 50

What is the purpose of adding the same value to both sides of the equation?

• To simplify the equation

• To factor the equation

• To balance the equation

• To eliminate the variable

How is the expression (v + 5)^2 derived from the equation?

• By adding 5 to both sides

• By factoring v^2 + 10v + 25

• By multiplying v by 5

• By subtracting 5 from both sides

What operation is used to solve for v after rewriting the equation as (v + 5)^2 = 46?

• Square root

• Subtraction

• Addition

• Multiplication

What is the final solution for v in the equation v^2 + 10v - 21 = 0?

• v = -5 ± sqrt(21)

• v = 5 ± sqrt(21)

• v = -5 ± sqrt(46)

• v = 5 ± sqrt(46)