use the quadratic formula to solve 3v^2+4v-1=0

Question

 can you show me step by step using the quadratic formula to solve 3v^2+4v-1=0. Also how to recheck answer step by step.

Answer 1

To solve by quadratic formula you must first make sure all the terms are on one side of the equation and it is set equal to zero. Also make sure the terms are arranged from highest power to lowest.

 

The coefficient (number) in front of the first term is a

The coefficient (number) in front of the second term is b

The coefficient (number) in front of the third term is c

 

For this problem  3V² +4V -1 =0     a= 3      b= 4  and c= -1

                                                          _{__________}

Use the formula    -b  +/- √ b² - 4ac

                                   2a

                                   ____________

This gives you  -4  +/- √(4)² - 4(3)(-1)

                                  2(3)

                                   _________                                  _______

                      -4  +/- √ 16 - (-12)           ⇒        -4  +/- √ 16 +12            

                                   6                                             6

                                    

                                    ___

                       -4  +/- √ 28        ( 28 can be factored into 4 times 7 and 4 is a perfect square that comes

                              6                    out to the front of the radican as a 2)

                                      __

                       -4  +/- 2√ 7

                              6

                                     ___                                 ____

                     -4  +/-  2√ 7             ⇒     -2   +/-  √   7

                      6           6                         3              3