12abx²-(9a²-8b²)x-6ab=0 by quadratic formula
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Answer:
12abx
2
−(9a
2
−8b
2
)x−6ab=0a
=0,b
=0
Therefore, the roots are:
x=
2×12ab
(9a
2
−8b
2
)±
(9a
2
−8b
2
)
2
+24ab(12ab)
=
24ab
(9a
2
−8b
2
)±
81a
4
+64b
4
−144a
2
b
2
+288a
2
b
2
=
24ab
(9a
2
−8b
2
)±
(9a
2
+8b
2
)
2
=
24ab
(9a
2
−8b
2
)±(9a
2
+8b
2
)
∴x=
24ab
9a
2
×2
=
4b
3a
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