1.

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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