1)  



Divide both sides by 4:

     



Add 2 both sides:

      

  

Add  to both sides:

      



Simplify RHS: 

    



Notice LHS is perfect square:

     



Take sqrt both sides, use +/- on RHS (b/c LHS^2 = RHS^2 we otherwise would lose the negative solution):

      = +- 



Add 1/8 to both sides:

     



This can be written:

     



Note that there are two solutions, agreeing with the highest power of the polynomial (2).







The others are procedurally the same.   



 

RELATED QUESTIONS

Solve the quadratic equations by using completing the square.
1.) x²+5x-3=0
2.)... (answered by ikleyn)

Solve the following quadratic equation by completing the square:

	x^2 – 6x – 3 = 0
 (answered by ankor@dixie-net.com)

1. Solve by completing the square.  
	x^2 – 4x + 4 = 0
2. Solve by completing the... (answered by MathLover1)

Match each quadratic equation with the best way to solve it.
1.	5x^2 + 12x - 3 = 0 -... (answered by josgarithmetic)

Solve by completing the square and quadratic formula.
1.) x^2-6x+8=0
2.) t^2=4-3t
3.)... (answered by josgarithmetic)

Using the quadratic equation x^2 - 4x - 5 = 0, perform the following tasks:
Solve by... (answered by ikdeep)

Solve the following quadratic equation by completing the square.
X^2+ 4x - 4 = 0
 (answered by jim_thompson5910)

Solve by completing the square... (answered by SandySharma,Edwin McCravy)

Solve by completing the square... (answered by madhujiithcharu@yahoo.co.in)