At how many points does the graph of the function below intersect the x-
axis?
y = 4x^2 - 6x + 1

Answer:
Option B is correct.
Step-by-step explanation:
y=4x^2-6x+1
Solving the quadratic equation:
4x^2-6x+1
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
a=4, b=-6 and c=1
[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4(4)(1)}}{2(4)}\\x=\frac{6\pm\sqrt{36-16}}{8}\\x=\frac{6\pm\sqrt{20}}{8}\\x=\frac{6+\sqrt{20}}{8} \,\,and\,\, x=\frac{6-\sqrt{20}}{8}[/tex]
So, it has 2 solutions,
Option B is correct.