Question

How do I solve qudratic equations with factions, like this one: 0" id="TexFormula1" title=" \frac{5}{3} " alt=" \frac{5}{3} " align="absmiddle" class="latex-formula">x²-5= 0

Answer 1

There are several approaches.

(5/3)x^2 - 5 = 0 has the coefficients a=5/3, b=0 and c = -5.

Thus, the quadratic formula would be appropriate here:

         -0 plus or minus sqrt(0^2 - 4(5/3)(-5) )
x  = -------------------------------------------------------
                                 2(5/3)
         plus or minus sqrt(100/3)
    = ------------------------------------
                         10/3
            3      10
     = ------* ----------- = sqrt(3)    (answer)
          10     sqrt(3)