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

Question

asked Mar 17, 2020 143k views

1 Answer

Stholzm · Answer 1 · 2020-03-22T00:07:39+0000

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)