Of the five quadratics listed below, four of them have two distinct roots. The fifth quadratic has a repeated root. Find the value of the repeated root.
-x^2 + 18x + 81
3x^2 - 3x - 168
x^2 - 4x - 4 25
x^2 - 30x + 9
x^2 - 14x + 24
+2094 For this, we need to find a quadratic where you have to get a factored equation like (x+h)^2=0.
For this, you should factor all of these quadratics to look for the equation/expression that will get you (x+h)^2=0.
+128408 If we have a repeated root the discriminant will = 0
Discriminant of first polynomial = 18^2 - 4(-1)(81) = not zero
Discriminant of second polynomial = (-3)^2 - 4(3) (-168) = not zero
Discriminant of third polynomial = 4^2 - 4(1)((-4.25) = not zero
Discriminant of fourth polynomial = (-30)^2 - 4(1)(9) = not zero
Discriminant of fifth polynomial = (-14)^2 - 4(1)(24) = not zero
The first polynomial WOULD have a repeated root if we had x^2 + 18x + 81 since it can be factored as
(x + 9)^2
The repeated root = - 9
