ne of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root? \begin{align*} &-x^2 + 18x + 81 \\ &3x^2 - 6x + 9 \\ &8x^2 - 32x + 32 \\ &25x^2 - 30x - 9 \\ &x^2 - 14x + 196 \end{align*}
The repeated root is the one whose discriminant = 0
You can check the others.....but the repeated root comes from
8x^2 - 32x + 32 because
32^2 - 4 (8) (32) =
32^2 - 32^2 = 0
The repeated root is (32/8) /2 = 4 /2 = 2
