There are 5 quadratics below. Four of them have two distinct roots each. The other has only one distinct root; find the value of that root.
4x2+16x−92x2+80x+400x2−6x−94x2−12x+9−x2+14x+49
+9488 discriminant of first one = 162 - 4(4)(-9) = 400 ≠ 0
discriminant of second one = 802 - 4(2)(400) = 3200 ≠ 0
discriminant of third one = (-6)2 - 4(1)(-9) = 72 ≠ 0
discriminant of fourth one = (-12)2 - 4(4)(9) = 0
discrimimant of fifth one = (14)2 - 4(-1)(49) = 392 ≠ 0
The fourth one is the quadratic with one distinct root.
4x2 - 12x + 9 = 0 when
x = −(−12)±√(−12)2−4(4)(9)2(4) = 12±08 = 128 = 32
Here's a graph of all of them: https://www.desmos.com/calculator/vrjvowhts0
