+829 Find the constant k such that the quadratic 2x^2 + 3x + 8x - x^2 + 4x + k has a double root.
+1897 First, let's combine all like terms and reaarange so we have the shape of a quadratic formula.
We get
\(x^2 + 15x + k \)
Having a double root means that the descriminant is greater than 0, so we have the equation
\(15^2 - 4 (1)(k) = 0 \\ 225 - 4k = 0 \\ 225 = 4k \\ k = 225 / 4\)
thus, The value of k is \(k = 225 / 4 \)
Thanks! :)
