Solving quadratic equations by completing the square examples with answers pdf

How do you solve a quadratic equation by completing the square?

Step 1: Divide the equation by a. ... .
Step 2: Move the constant term to the right side of the equation. ... .
Step 3: Take half of the coefficient for x and square it. ... .
Step 4: Add the square to both sides of the equation. ... .
Step 5: Factor the perfect square trinomial. ... .
Step 6: Take the square root of both sides..

What are 4 examples of quadratic equation?

Examples include:.
2x² - 64 = 0..
x² - 16 = 0..
9x² + 49 = 0..
-2x² - 4 = 0..
4x² + 81 = 0..
-x² - 9 = 0..
3x² - 36 = 0..
6x² + 144 = 0..

How do you answer the question completing the square?

Correct answer: Completing the square just means adding the same number to both sides of the equation -- which, remember, doesn't change the value of the equation -- in order to create a perfect square. In this case, we need to add 4 on both sides so that the right-hand side of the equation factors neatly.

What is quadratic equation examples with answers?

So, basically, a quadratic equation is a polynomial whose highest degree is 2. Let us see some examples: 3x2+x+1, where a=3, b=1, c=1. 9x2-11x+5, where a=9, b=-11, c=5.