Solve 9x2-9(a+b)x+(2a2+5ab+2b2)=0 by factorisation
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Step-by-step explanation:
9x
2
−9(a+b)x+(2a
2
+5ab+2b
2
)=0
⟹9x
2
−9(a+b)x+[2a(a+2b)+b(a+2b)]=0
⟹9x
2
−9(a+b)x+[(2a+b)(a+2b)]=0
⟹9x
2
−3[(a+2b)(2a+b)]x+[(2a+b)(a+2b)]=0
⟹3x[3x−(a+2b)][3x−(2a+b)]=0
⟹3x=a+2b
⟹x=
3
a+2b
or,
⟹3x=2a+b
⟹x=
3
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0
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