1.

Find x for 3x²+5x-7 from quadratic formula​

Answer»

Answer:

2.573

Step-by-step explanation:

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

                                     

            - B  ±  √ B2-4AC

  x =   ————————

                      2A

  In our case,  A   =     3

                      B   =    5

                      C   =   -7

Accordingly,  B2  -  4AC   =

                     25 - (-84) =

                     109

Applying the quadratic formula :

               -5 ± √ 109

   x  =    ——————

                      6

  √ 109   , rounded to 4 decimal digits, is  10.4403

 So now we are LOOKING at:

           x  =  ( -5 ±  10.440 ) / 6

Two real solutions:

 x =(-5+√109)/6= 0.907

or:

 x =(-5-√109)/6=-2.573


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