Question

If 24/p=p/1014 then what is the value of p?

Answer 1

Answer:

$\large\boxed{P=156, P=-156}$

Step-by-step explanation:

To find the value of p, first you have to isolate by the p from one side of the equation.

Given:

24/p=p/1014

Solutions:

First, you multiply by cross fractions from left to right.

$\displaystyle 24*1014=pp$

Multiply numbers from left to right.

$\displaystyle 24*1014=24336$

Solve.

$\large\boxed{\textnormal{Exponent Rule}}$

$\displaystyle a^b*a^c=a^b^+^c$

$\displaystyle p^1^+^1=pp$

Add.

$\displaystyle 1+1=2$

$\displaystyle p^2$

$\displaystyle 24336=p^2$

Solve.

$\displaystyle 24336=p^2=\boxed{P=156, P=-156}$

In conclusion, the correct answer is p=156 and p=-156.