Question 949629

Hello! I need to find the range of a quadratic equation, which is 2x^2+ -2x + 3 = 0
Could you please help me??
<pre>{{{2x^2 - 2x + 3 = 0}}}
This equation will have a minimum, since a > 0
This minimum will occur at: {{{x = - b/2a}}}______{{{x = - - 2/(2*2)}}}_______{{{x = 2/4}}}_______{{{x = 1/2}}}   
Minimum point: {{{y = 2(1/2)^2 - 2(1/2) + 3}}}____{{{y = 2(1/4) - 1 + 3}}}_____{{{y = 1/2 - 1 + 3}}}____{{{y = 2&1/2}}}____{{{y = 5/4}}}

Therefore, range is: {{{highlight_green(5/4 <= y < infinity)}}}