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ASHA 777 [7]
3 years ago
13

Use the quadratic formula to solve 3x2 + 5x + 2 = 0.D. x = 2, –3

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0
Quadratic Formula:


         -b  +/-  √b² - 4ac
x = --------------------------
                 2a


In your equation 3x² + 5x + 2 = 0:

a = 3
b = 5
c = 2

Now, plug in these values into the formula.

         -5 +/- √5² - 4(3)(2)                        -5 +/- √25 - 4(6)
x = --------------------------------  ⇒  x = -----------------------------
                   2(3)                                               6
                                                                 
         -5 +/- √25 -24                    -5 +/- √1                  -5 +/- 1
x = ------------------------  ⇒  x =  ---------------  ⇒  x = --------------
                 6                                     6                            6

               -5 +/- 1
Split x = ------------ into two solutions by solving it.
                    6

        -5 + 1         -4
x = ------------ = ------ 
            6             6
 
       -5 - 1          -6
x = ----------- = ------ = -1
           6             6

The two final solutions are x = -1 and x = -4/6


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