GCSE Maths - How to Solve a Quadratic by Completing the Square (Part 2 - Solve When a=1) #53

This video tutorial explains how to solve quadratic equations using the completing the square method. It begins with rearranging equations into a specific form and then demonstrates solving two example equations by isolating the variable and applying the square root. The tutorial concludes with a summary of the method, emphasizing the typical outcome of two solutions for quadratic equations.

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

• Rearrange the equation into the form X + P^2 + Q

• Factor the equation

• Directly solve for X

• Multiply both sides by a constant

When isolating X in the equation X - 5^2 = 7, what is the next step after adding 7 to both sides?

• Multiply both sides by 2

• Square both sides

• Subtract 5 from both sides

• Take the square root of both sides

In the equation X + 3^2 = 1, what is the result of taking the square root of both sides?

• X + 3 = ±3

• X + 3 = ±2

• X + 3 = ±1

• X + 3 = ±0

What are the two possible solutions for X in the equation X = ±1 - 3?

• X = 3 and X = -3

• X = 2 and X = 4

• X = -2 and X = -4

• X = 1 and X = -1

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

• Factor the equation

• Add a constant to both sides

• Multiply both sides by a constant

• Rearrange the equation to isolate X