How to complete the square with fractions then solve the equation

The video tutorial explains solving a quadratic equation by completing the square. It starts with adding 6 to the equation, then squaring -3/2 and adding it to both sides to form a perfect square trinomial. The process involves combining terms, ensuring common denominators, and solving for X. The final solution is presented as X equals 3 plus or minus the square root of 33, divided by 2.

What is the first step in solving the quadratic equation presented in the video?

• Multiply both sides by 6

• Divide both sides by 6

• Subtract 6 from both sides

• Add 6 to both sides

How do you create a perfect square trinomial from the equation?

• By multiplying the coefficient of x by 2

• By subtracting the square of the coefficient of x divided by 2 from both sides

• By dividing the coefficient of x by 2

• By adding the square of the coefficient of x divided by 2 to both sides

What is the factored form of the trinomial x^2 - 3x + 9/4?

• (x - 3/2)^2

• (x + 3/2)^2

• (x + 9/4)^2

• (x - 9/4)^2

What operation is performed to both sides of the equation to solve for x?

• Multiplying by 2

• Taking the cube root

• Squaring both sides

• Taking the square root

What is the final solution for x in the equation?

• 3 - sqrt(33) / 2

• 3 + sqrt(33) / 4

• 3 - sqrt(33) / 4

• 3 + sqrt(33) / 2