Question

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x²/4-x/3+1/9=1/16

Answer 1

x²/4 - x/3 + 1/9 = 1/16        mmc de 4,3,9,16 = 144
36x²/144  -48x/144 + 16/144 = 9/144
36x²-48x+16=9
36x²-48x=9-16
36x²-48x=-7
36x²-48x+7=0
Δ = b² -4ac
Δ = (-48)² -4 *36 * 7
Δ = 2304 -1008
Δ = 1296
x' = (-b + √∆)/ 2a
(-(-48) + 36)/2 * 36
(48 + 36)/72
84/72
7/6
x'' = (-b - √∆)/ 2a
(-(-48) - 36)/2 * 36
(48 - 36)/72
12/72
1/6

Answer 2

x²/4-x/3+1/9=1/16----mmc(4,3,9,16) = 144
36x² - 48x + 16= 9
36x² -48x + 7 = 0
Δ= 2304 - 1008 = 1296
√Δ= √1296 = 36
x' = (48+36)/72 = 84/72 = 7/6
x"= (48-36)/72 = 12/72 = 1/6