SOLUTION: hello I'm having trouble with this problem Using the Quadratic Formula, which of the following is the solution to the quadratic equation 5x2 + 10x – 5 = 0? a..x=-1-√5,x

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Question 900399: hello I'm having trouble with this problem
Using the Quadratic Formula, which of the following is the solution to the quadratic equation 5x2 + 10x – 5 = 0?
a..x=-1-√5,x=-1+√5
b.x=-1-√2,x=-1+√2
c.x=-1-√201,x=-1+√201-i picked
d.x=-1-√2,x=1+√2
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi

5x^2 + 10x – 5 = 0  Format a^2 + bx + c













d.x=-1-√2,x=1+√2







 

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
 


 
Solved by pluggable solver: Quadratic Formula


Let's use the quadratic formula to solve for x:



  

  Starting with the general quadratic

  

  

  

  

  

  the general solution using the quadratic equation is:

  

  

  

  

  

  

  

  So lets solve  ( notice , , and )

  

  

  

  

  

   Plug in a=5, b=10, and c=-5

  

  

  

  

   Square 10 to get 100  

  

  

  

  

   Multiply  to get 

  

  

  

  

   Combine like terms in the radicand (everything under the square root)

  

  

  

  

   Simplify the square root (note: If you need help with simplifying the square root, check out this  solver)

  

  

  

  

   Multiply 2 and 5 to get 10

  

  

  So now the expression breaks down into two parts

  

  

   or 

  

  

  

  Now break up the fraction

  

  

  

   or 

  

  

  

  Simplify

  

  

  

   or 

  

  

  

  So the solutions are:

  

   or 

  

  

  



 

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