Question

For what values of m does the graph of y = mx^2 – 5x – 2 have no x-intercepts?

Answer 1

$\Delta\ \textless \ 0\\ \Delta=(-5)^2-4\cdot m\cdot(-2)=25+8m\\ 25+8m\ \textless \ 0\\ 8m\ \textless \ -25\\ m\ \textless \ -\dfrac{25}{8}$