Quadratic Formula

Question

2x^2 + 4x + 4 = 0

Answer 1

2x²+4x + 4 = 0

 

We can factor a 2 out of each coefficient and the constant

 

2(x² + 2x + 2) = 0

Dividing both sides by 2 reduces your equation to

 

x²+ 2x + 2 = 0

 

a = 1, b= 2, c = 2

 

x = [-b ±√(b²-4ac)]/2a from quadratic equation

 

x = [-2 ±√[2²-4(1)(2)]]/(2)(1)

  = [-2 ±√(4-8)]/2

  = [-2 ±√(-4)]/2

  = (-2 ± 2i)/2

  = -1 ± i

 

 

Answer 2

A quadratic equation is in the form.

 

ax² + bx + c = 0

 

 

Quadratic formula is

 

x = (-b ± √(b² - 4ac)) / 2a

 

where:

a = 2

b = 4

c = 4

 

Plug in these values into the formula to solve for x.  You will get two x values because of the plus/minus sign.