The additive inverse of a number dividedbr twelve is the same as one less than 3 times itsreciprocal.Find the number?

If the correct answer is answered today. I will be very pleased.

Question

The additive inverse of a number dividedbr twelve is the same as
one less than 3 times itsreciprocal Find the number?
If the correct answer is answered today I will be very
pleased

Utsav · Accepted Answer

Let the number be x
Hence additive inverse of the number is -x
Now it is given that additive inverse divided by 12 is the same as
one less than 3 times its reciprocal
∴-x12=(3×1x)-1⇒-x12=3x-1⇒x12=1-3x=x12=x-3x=x2=12(x-3)⇒x2=12x-36⇒x2-12x+36=0⇒x2-6x-6x+36=0⇒x(x-6)-x(x-6)=0⇒(x-6)(x-6)=0⇒x=6Hence
the number is 6

The additive inverse of a number dividedbr twelve is the same as one less than 3 times itsreciprocal.Find the number? If the correct answer is answered today. I will be very pleased.

The additive inverse of a number dividedbr twelve is the same as one less than 3 times itsreciprocal.Find the number?

If the correct answer is answered today. I will be very pleased.