# data[].attributes.body
In this method, we use the concept of perfect squares in order to find the roots of the equation

# data[].attributes.headline
Example of a Quadratic Equation being solved through Completing the Square

# data[].attributes.subject
Example of a Quadratic Equation being solved through Completing the Square

# data[].attributes.body
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

# data[].attributes.body
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

# data[].attributes.headline
Solving Quadratic Equations through the Zero Product Property

# data[].attributes.subject
Solving Quadratic Equations through the Zero Product Property

# data[].attributes.body
{ 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

# data[].attributes.body
In this method, you have to factor the equation in order to find its roots.

# data[].attributes.headline
Solving Quadratic Equations through Completing the square

# data[].attributes.subject
Solving Quadratic Equations through Completing the square

# data[].attributes.body
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

# data[].attributes.body
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.)

# data[].attributes.headline
Example of a Quadratic Equation being solved through the Square Root Property

# data[].attributes.subject
Example of a Quadratic Equation being solved through the Square Root Property

# data[].attributes.body
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

# data[].attributes.headline
Solving Quadratic Equations through the Square Root Property

# data[].attributes.subject
Solving Quadratic Equations through the Square Root Property

# data[].attributes.body
{ 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

# data[].attributes.body
• 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.