if log 98+root x^2+12x+36=2 then find x
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log
10
(x
2
−12x+36)=2
⇒x
2
−12x+36=10
2
=100
⇒x
2
−12x+36−100=0
⇒x
2
−12x−64=0
⇒x
2
−16x+4x−64=0
⇒x(x−16)+4(x−16)=0
⇒(x−16)(x+4)=0
∴x=−4,16
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