Solve: 12abx2 – (9a2 – 8b2)x - 6ab = 0 using by factorisation method.
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[tex]12abx2−(9a2−8b2)x−6ab=0a=0,b=0
Therefore, the roots are:
x=2×12ab(9a2−8b2)±(9a2−8b2)2+24ab(12ab)=24ab(9a2−8b2)±81a4+64b4−144a2b2+288a2b2
=24ab(9a2−8b2)±(9a2+8b2)2
=24ab(9a2−8b2)±(9a2+8b2)
∴x=24ab9a2×2=4b3aor,x=24ab−8b2×2=3a−2b..
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