Question 188022
Find the x-intercepts:
{{{y = 2x^2-5x+2}}} Set y = 0 and solve for x.
{{{2x^2-5x+2 = 0}}} Factor the trinomial.
{{{(2x-1)(x-2) = 0}}} Apply the zero product rule:
{{{2x-1 = 0}}} or {{{x-2 = 0}}}
{{{2x-1 = 0}}} Add 1 to both sides.
{{{2x = 1}}} Divide both sides by 2.
{{{highlight(x = 1/2)}}} or...
{{{x-2 = 0}}} Add 2 to both sides.
{{{highlight(x = 2)}}}
The x-intercepts are: (1/2, 0) and (2, 0)
{{{graph(400,400,-5,5,-5,5,2x^2-5x+2)}}}