Please help me with this one.
Show that x^2 + 3x + 5 > 0, for all values of x.
and
Show that 2x^2 + 6 > 4x + 1, for all values of x.
How do i show it,????
How do you propose to draw the graph? Not the lazy way - using a graphics calculator - I hope.
To draw the graph by hand (which is what you should be attempting to do) you need to calculate the x-intercepts. Use the quadratic formula to solve x^2 + 3x + 5 = 0. What do you notice about the discriminant ....? Therefore .....