what kind and how many solutions. The quadratic equation nine X Square, minus 66 plus minus four equals negative. Five would have well before we work. This we need to invest equals zero. Let's go ahead and add five to both sides. So we have non X squared minus 66 plus one equals era are a would be nine b is native six and R C is one. Well, now that we have that we can plug those numbers into the discriminate. The discriminate is B squared minus for a C. So we're gonna have negative six squared minus four times nine times one. So that's gonna be 36 minus 36 which would equal zero when our discriminate equal zero where our solution will only have one riel roots.