Quiz on Solving Quadratic Equations by Completing the Square

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

• Find the square root of the constant term

• Multiply all terms by 2

• Transpose terms to one side

• Factor the equation

In the equation x^2 + 2x - 48 = 0, what is the value added to both sides to complete the square?

• 49

• 16

• 4

• 1

What is the result of completing the square for x^2 + 2x + 1?

• (x + 1)^2

• (x + 2)^2

• (x - 2)^2

• (x - 1)^2

For the equation x^2 - 8x - 2 = 0, what is the value of B/2 squared?

• 2

• 8

• 16

• 4

What is the simplified form of the square root of 18?

• 2√3

• 3√2

• √18

• 9√2

When solving x^2 - 8x - 2 = 0, what is the expression for x after completing the square?

• x = 4 ± 3√2

• x = 4 ± √2

• x = 4 ± √18

• x = 4 ± 2√3

What is the purpose of completing the square in solving quadratic equations?

• To factor the equation

• To convert the equation into a perfect square trinomial

• To eliminate the constant term

• To find the vertex of the parabola

What is the next step after expressing the quadratic equation as a perfect square trinomial?

• Solve for x by factoring

• Extract the square root of both sides

• Add the same value to both sides

• Multiply both sides by 2

In the assignment problem x^2 + 12x + 32 = 0, what is the first step to solve it by completing the square?

• Subtract 12 from both sides

• Add 32 to both sides

• Subtract 32 from both sides

• Add 12 to both sides

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

• Simplify the expression

• Check the solution by substitution

• Graph the equation

• Verify the solution using the quadratic formula