+1520 Find the largest integer k such that the equation 5x^2 - kx + 8 - 2x^2 + 25 =0 has no real solutions
+1938 For there to be no real solutions, the discriminant needs to be NEGATIVE
The descriminant is \(b^2 - 4ac <0 \) with \(b = k ; \space a = 5 ; \space c = 8\)
Plugging it all in, we have
\(k^2 - 4(5)(8) <0 \\ k^2 < 160\)
\(k < 12.65\)
We are trying to find the largest INTEGER, which would be 12.
Thanks! :)
