Question 393689
  
<pre><font size = 3 color = "indigo"><b>
Hi
Let x represent 
2x^2-9x+1=0   
|yes, quadratic equation may have up to two x-values that satisfy the equation
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{x = (9 +- sqrt( 73))/(4) }}}
{{{x = (9 +- 8.544)/4 }}}

x = 4.386, x = 0.114 to the nearest thousandths

for ex:  x^2 +6x + 9 = 0 have only one unique solution x = -3
That is, the parabola only crosses x-axis at one point
        (x+3)(x+3) = 0
{{{drawing(300,300, -6, 6, -6, 6, grid(1),
circle(4.386, 0,0.2),
circle(.114, 0,0.2),
circle(-3, 0,0.2),
graph( 300, 300, -6, 6, -6, 6,0,2x^2-9x+1,x^2 +6x + 9 ))}}}