Question 89460
Solve by using the quadratic formula. 
              5x² + x = 3


<pre><font size = 5 color = "darkblack"><B>

              5x² + x = 3

Get 0 on the right by subtracting 3 from both sides


           5x² + x - 3 = 0

Use the quadratic formula:
                  ______ 
            -b ± <font face = "symbol">Ö</font>b²-4ac
        x = —————————————
                2a 

where a = 5; b = 1; c = -3

                     _____________
             -(1) ± <font face = "symbol">Ö</font>(1)²-4(5)(-3)
        x = ————————————————————————
                     2(5) 
                   ____ 
             -1 ± <font face = "symbol">Ö</font>1+60
        x = —————————————
                 10

                   __ 
             -1 ± <font face = "symbol">Ö</font>61
        x = ———————————
                10 
                      
Using the + and a calculator, one solution equals 
about .6810249878.
                       
Using the - and a calculator, the other solution 
equals about -.8810249676.

Edwin</PRE>