CONCEPT FORMATION (GROUP 4) by Christy Namae Bellingan https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox In this activity, you will form the concept of solving quadratic equations by the SQUARE ROOT PROPERTY, the ZERO PRODUCT PRINCIPLE, and by COMPLETING THE SQUARE. en-us 2022-09-13 09:11:36 UTC 2025-09-30 11:51:09 UTC hello@padlet.com https://padlet.net/icons/png/1f33a.png Introduction https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2295585828 • What are Quadratic Equations?
A quadratic equation is an equation that has the highest exponent of 2. It has the form of ax²+bx+c=0 and a≠0(is not equal to zero).

There are many ways and methods to solve quadratic equations, that also includes SQUARE ROOT PROPERTY, ZERO PRODUCT PRINCIPLE, and COMPLETING THE SQUARE.]]> 2022-09-14 03:28:54 UTC https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2295585828 Solving Quadratic Equations through the Square Root Property rjbalanay https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2295993478 { If x²=d, then x=±√d }

1) Transpose if needed in order to isolate x²
2) Simplify your equation
3) Find the square root of both sides of your equation
4) Consider two roots of the equation
]]> 2022-09-14 09:02:48 UTC https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2295993478 Example of a Quadratic Equation being solved through the Square Root Property rjbalanay https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296000034 2x²=18

1) Transpose:
x²=18/2

2) Simplify the equation:
x²=9

3) Find the square root of both sides of the equation:
√x²=√9

4) Consider two roots of the equation:
x=±3]]> 2022-09-14 09:08:06 UTC https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296000034 Square Root Principle pnillas https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296058202 In this method, you just have to find the square root of both sides for this equation.

(Note: You can only find the square root of a real number, so you cannot find the square root of negative numbers not making it a real solution.)]]> 2022-09-14 09:55:17 UTC https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296058202 Solving Quadratic Equations through Completing the square jchua8 https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296351202
1) By dividing the coefficient of x by 2, determine the closest perfect square
2) Rewrite the left part of the equation to a factored perfect square expression
3) Solve and simplify the right part of the equation if needed
4) Find the square root of both sides of the equation]]> 2022-09-14 13:30:27 UTC https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296351202 Zero Product Property rjbalanay https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296390317 In this method, you have to factor the equation in order to find its roots.]]> 2022-09-14 13:49:52 UTC https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296390317 Solving Quadratic Equations through the Zero Product Property rjbalanay https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296391528 { If p and q are algebraic expressions, then pq=0 if, and only if, p=0 or q=0 }

1) Write your equation in standard form "ax²+bx+c=0"
2) Factor the left side of the equation
3) Apply the Zero Product Theorem by setting the factor equals to zero
4) Solve your equations to find the roots
]]> 2022-09-14 13:50:26 UTC https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296391528 Example of Zero Product Property sguinal https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296549377 x(x+4)-10=10

1) Simplify x(x+4)
x²+4x-10=10

2) Standard form
x²+4x-10-10=0

3) Simplify -10 -10
x²+4x-20=0

4) Factor the Quadratic Equation
(x+4)(x-5)

5) Apply the Zero Factor Theorem
x+4=0 x-5=0

6) Solve the equations
x=4 x=-5]]> 2022-09-14 15:10:20 UTC https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2296549377 Example of a Quadratic Equation being solved through Completing the Square rjbalanay https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2297351135 x² - 6x - 4 = 0

1) Add 4 to both sides to cancel -4
x² - 6x - 4 = 0
             +4   +4
x² - 6x = 4

2) Determine the closest perfect square
-(6/2)² = 9

3) Add the perfect square to both sides
x² - 6x + 9 = 4 + 9

4) Rewrite and simplify
(x-3)² = 13

5) Find the Square Root of both sides of the equation
√(x-3)² = √13
x-3 = ±√13

6) Transpose -3 to isolate x
x = 3±√13

]]> 2022-09-15 01:35:28 UTC https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2297351135 Completing the Square rjbalanay https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2297556437 In this method, we use the concept of perfect squares in order to find the roots of the equation]]> 2022-09-15 04:19:21 UTC https://padlet.com/iamchristynamaebellingan/m9wiv786rio35mox/wish/2297556437