Answer:
The roots are 0.5 and 4.
Step-by-step explanation:
-2x^2+9x=4
Rearrange:
-2x^2 + 9x - 4 = 0
x = [-b +/- √(b)^2 - 4ac)] / 2a
Using this quadratic formula the solution is:
x = [-9 +/- √(9)^2 - 4*(-2)*(-4)] / (2*-2)
= (-9 +/- √49) / -4
= 9/4 +/- (-7/4)
= 9/4 - 7/4 = 0.5
and 9/4 + 7/4 = 4
