HOW MANY TIMES DOES THE GRAPH OF

Question

2
2X -2X+3 INTERSECT THE X-AXIS?

Answer 1

2 x^2 - 2 x + 3 = 0

x = [2 +/- sqrt (2^2-4*2*3)] /4

= [ 2 +/- sqrt (4 - 24) ]/4

= [ 2 +/- sqrt (-20) ] / 4

- 20 is imaginary so this parabola never crosses the x axis.