Question

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

Answer 1

Answer: Option D

Step-by-step explanation:

Add 4 to both sides of the equation:

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

The Quadratic formula is:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

You can identify that in this case:

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

Substitute into the Quadratic formula:

$x=\frac{-(-7)\±\sqrt{(-7)^2-4(2)(4)}}{2(2)}$

 $x_1=2.78\\x_2=0.72$

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

(2.78,0) and (0.72,0)