+1518 Find the largest integer k such that the equation
5x^2 - kx + 8 - 20x^2 + 45 = 0
has no real solutions.
+1950 First, let's combine all like terms. We get
−15x2−kx+45
In order for the solutions not to be real, the descriminant must be less than 0 (negative number).
We have
(−15)2−4(−k)(45)<0225+180k<0k<−1.25
Therefore, the largest integer must be -2.
Thanks! :)
+1950 First, let's combine all like terms. We get
−15x2−kx+45
In order for the solutions not to be real, the descriminant must be less than 0 (negative number).
We have
(−15)2−4(−k)(45)<0225+180k<0k<−1.25
Therefore, the largest integer must be -2.
Thanks! :)
