How do you find the discriminant for #0.2x^2-1.5x+2.9=0# and determine the number and type of solutions?
To find the discriminant of an equation,
first, you must make the equation into the form of
And the discriminant will be
if the discriminant =0,then the equation has two equal real roots
if the discriminant >0,the the equation will have two different real roots
if the discriminant < 0, the the equation will have no real roots.
so based on the given equation
we can write out that
because the discriminant of the equation is < 0
so we can tell that the equation has no real roots.