Question

Determine the number and type of solutions for –3x2 + 3x + 1= 0.

1 Rational Double

2 Irrational

2 Rational

2 Complex

Answer 1

easiest just to solve and see what you get, but you can also compute
\[b^2-4ac\] and do the problem that way

Answer 2

\[3^2-4\times (-3)\times 1=9+12=21\] and since \(21>0\) there are two solutions
irrational since 21 is not a perfect square