Question

At how many points does the graph of the function below intersect the x-

axis?
y = 4x^2 - 6x + 1

Answer 1

Option B is correct.

Explanation:

y=4x^2-6x+1

Solving the quadratic equation:

4x^2-6x+1

`x=(-b\pm√(b^2-4ac))/(2a)`

a=4, b=-6 and c=1

`x=(-(-6)\pm√((-6)^2-4(4)(1)))/(2(4))\\x=(6\pm√(36-16))/(8)\\x=(6\pm√(20))/(8)\\x=(6+√(20))/(8) \,\,and\,\, x=(6-√(20))/(8)`

So, it has 2 solutions,

Option B is correct.