Question

What are the x-intercepts of the graph of the equation above?

Answer 1

Answer: Option D

Explanation:

Add 4 to both sides of the equation:

`2x^2-7x+4=-4+4\\2x^2-7x+4=0`

The Quadratic formula is:

`x=(-b\±√(b^2-4ac))/(2a)`

You can identify that in this case:

`a=2\\b=-7\\c=4`

Substitute into the Quadratic formula:

`x=(-(-7)\±√((-7)^2-4(2)(4)))/(2(2))`

`x_1=2.78\\x_2=0.72`

Therefore, you get that the x-intercepts of the graph of this equation are:

(2.78,0) and (0.72,0)