the question was to find the roots of this equation
when two of the roots equalled zero.
so i let the roots be
therefore
i used the standard sum of roots, product of roots etc technique to work out simultaneous equations and i ended up with this result
i'm not realli sure if those equations are correct but if they are, i dont realli no how to proceed to figure out gamma and alpha
if anyone could help me, i would realli realli appreciate it !!! thankyou !!
thankyou but i actually havent learnt the rational root theorem and im supposed
to be solving these equations through the equations for sum of roots, sum of product of roots two at a time, sum of product of roots three at a time and product of roots
thanks though
if anyone can help me with my above equations i would realli appreciate it !!
Hi
You know
a + b + c + d = 1/4
ab + ac + ad + bc + bd + cd = -27/8
abc + abd + acd + bcd = -3/4
abcd = 9/8
a + b = 0
This means
c + d = 1/4
ab + cd = -27/8 (since ac + ad + bc + bd = (a+b)(c+d) = 0)
ab(c + d) = -3/4 (since acd + bcd = (a+b)cd = 0)
abcd = 9/8
a + b = 0
You can find
ab = -3 (which gives you a and b using a+b=0)
cd = -3/8 and c+d = 1/4 which gives you c and d