payan95
payan95 payan95
  • 12-06-2019
  • Mathematics
contestada

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

At how many points does the graph of the function below intersect the x axis y 4x2 6x 1 class=

Respuesta :

absor201
absor201 absor201
  • 12-06-2019

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.

Answer Link

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