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Use the quadratic formula to find any x-intercepts on the graph of the equation.

y=3x^2+3x-3
 
 
I have to options
 
Option #1
  x=?????     simplify you answer. type an exact answer using radicals as needed. Use a comma to separate answers as needed.
 
Option #2
 ???  They are no x-intercepts
 
Only one option is allowed
 
 
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1 Answer

Solve 3x^2+3x-3 = 0
Dividing each term by 3,
x^2+x-1 = 0
Method 1. Completing the square
=> (x+1/2)^2 = 1+1/4 = 5/4
x = -(1/2) ± √(5)/2 <==Answer
 
Method 2. Using quadratic formula
x = (-1±√(1+4))/2 = -(1/2) ± √(5)/2<==Same answer

Comments

If it's computer-based, sometimes the software wants two separate answers, separated by commas.
 
Try:
(-1+√5)/2,  (-1 - √5)/2
 
or
 
-1 + √5   ,    -1 - √5
---------        --------
      2                2

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