ANSWER
D.
[tex]x = \frac{ - ( - 9 )\pm \sqrt{ {( - 9)}^{2} - 4(2)(4)} }{2(2)} [/tex]
EXPLANATION
The given equation is
[tex]2 {x}^{2} - 9x + 4 = 0[/tex]
When we compare this to:
[tex]a{x}^{2} + bx + c = 0[/tex]
we have a=2, b=-9, and c=4.
The quadratic formula is given by,
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
We substitute the values into the formula to get,
[tex]x = \frac{ - ( - 9 )\pm \sqrt{ {( - 9)}^{2} - 4(2)(4)} }{2(2)} [/tex]
The correct choice is D
