Answer:
x + 2/x = 9/2
multiply through by x
x2 + 2 = (9/2)x
multiply through by 2
2x2 + 4 = 9x
2x2 - 9x + 4 = 0
We can factor by grouping. 2(4) = 8 ...
taken from coefficient of square term and the constant ...
Factors of 8 that add to -9 are (-8)(-1):
Replace -9x with -8x - x
2x2 - 8x - x + 4 = 0
(2x2 - 8x) - (x - 4) = 0
2x(x - 4) - (x-4) = 0
(2x-1)(x-4) = 0
2x-1 = 0 and x = 1/2
OR
x-4 = 0 and x = 4
Your two answers are {1/2, 4}
Please mark brainliest for further answer :)
