1.

Nine subtracted from 6 times of a natural number gives its own square what is the number.​

Answer»

ANSWER:

The NUMBER is 3.

Step-by-step explanation:

let the NATURAL number be x.

we have,

6(x)-9=x^{2}

6x-9=x^{2}

0=x^{2}-6x+9

∴By SPLITTING middle term of this Quadratic Eq

0=x^{2}-3x-3x+9

0=x(x-3)-3(x-3)

∴The value of x=3

The natural number is 3

Lets PROVE it,

LHS,

6(3)-9=18-9= 9

RHS=3^{2}

=9

LHS=RHS

HENCE PROVED THAT THE NATURAL NUMBER IS 3.

Thank you..........


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