Question

the average of a non zer number and its square is 12 times the numbere what is the number

Answer 1

Answer:

The number is 23...

Step-by-step explanation:

\begin{gathered}\text{Let the number be x. Then, ATQ,}\\\\\dfrac{x + x^2}{2} = 12x\\\\\\\implies x+x^2 = 24x\\\\\implies \dfrac{x+x^2}{x} = 24\\\\\\\implies \dfrac{x}{x} + \dfrac{x \times x}{x} = 24\\\\\\\implies 1 + x = 24\\\\\implies x = 24 - 1 = \boxed{\boxed{\bold{23}}}\end{gathered}

Let the number be x. Then, ATQ,

2

x+x

2

=12x

⟹x+x

2

=24x

⟹

x

x+x

2

=24

⟹

x

x

+

x

x×x

=24

⟹1+x=24

⟹x=24−1=

23