Question

What are the roots to this quadratic equation?

Answer 1

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 2

`\frac34` and
`-\frac34`

Explanation:

Hello!

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

Solve for x

• 
  `16x^2 = 9`
• 
  `x^2 = (9)/(16)`
• 
  `√(x^2) = \sqrt{(9)/(16)}`
• 
  `x = \pm(\sqrt9)/(√(16))`
• 
  `x = \pm\frac34`

The roots of the quadratic are
`\frac34` and
`-\frac34`.

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