what is 12x^2+10x-3

Question

i want to know how to solve this equation and what the anwser is

 

Answer 1

This is Trinomial. Polynomial of Degree 2. 

 Maximum Statement can have is 3, 1 more than the degree of the polynomial , highest power of X

 

  To solve this you always should be factored into binomial of its root.

 

   To Solve
     12 X^2 + 10X -3 = 0          12 * 3 =  36 = 2 *18 = 4 *9 = 12*3 , You see that none of these factors

                                                                                                    difference is +10 , so the quadratics

                                                                                                     doesn't have a rational roots,use

                                                                                                      quadratic formula as given by 

                                                                                                      others to solve.

 

 Problem asked you to factor, not use the quadratic formula:

 

     12 X^2 + 10X - 3 =

 

     12( X^2/12 + 10/ 12 X- 3/12) =

 

     12 ( X^2/12 + 5/6 X -3/12 + 25/144 - 25/144) =

 

     12 ( X + 5/ 12 ) ^2 - 61/144) 

 

      12 ( X + 5/12 - √61/12) ( X + 51/12 + √61/12) 

    

       So this is factoring by completing the square.

 

 

Answer 2

Using the quadratic equation: [-b ±√(b²-4ac)]/2a where a = 12, b = 10 and -3 = c.