Respuesta :

16x^2=9
x^2=9/18
x=sqrt(9/16)
x=3/4,-3/4
so the root of the quadratic equation are 3/4 and -3/4 

Answer:

[tex]\frac34[/tex] and [tex]-\frac34[/tex]

Step-by-step explanation:

Hello!

We have to solve for x to find the roots of the quadratic.

Solve for x

  • [tex]16x^2 = 9[/tex]
  • [tex]x^2 = \frac{9}{16}[/tex]
  • [tex]\sqrt{x^2} = \sqrt{\frac{9}{16}}[/tex]
  • [tex]x = \pm\frac{\sqrt9}{\sqrt{16}}[/tex]
  • [tex]x = \pm\frac34[/tex]

The roots of the quadratic are [tex]\frac34[/tex] and [tex]-\frac34[/tex].

The roots of the quadratic is when the value of y is 0, or when the graph intersects the x-axis.

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