Question

3x^2 - 5x -1 =0 Quadratic Equation please explain step by step

Answer 1

Answer:

Step-by-step explanation:

Solving    3x2-5x-1 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x, the solution for   Ax2+Bx+C  = 0, where  A, B, and  C number, often called coefficients, is given by :

                                   

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    -5

                     C   =   -1

 B2  -  4AC   =

      25 - (-12) =

             37

Applying the quadratic formula :

              5 ± √ 37

  x  =    —————

                   6

 √ 37, rounded to 4 decimal digits, is   6.0828

So now we are looking at:

          x  =  ( 5 ±  6.083 ) / 6

Two solutions:

x =(5+√37)/6= 1.847

x =(5-√37)/6=-0.180