Question

What is the solution to the equation square root of -5p= square root of 24-p?

A.p = –6
B.p=-24/5
C.p = –4
D. p= -24/25

Answer 1

Answer:

A

Step-by-step explanation:

given $\sqrt{-5p}$ = $\sqrt{24-p}$

squaring both sides

- 5p = 24 - p ( add p to both sides )

- 4p = 24 ( divide both sides by - 4 )

p = - 6 → A

Answer 2

Answer:

The Answer is A. p = -6

Step-by-step explanation:

We can solve for p using simple Algebra. Our goal is to do Opposite Arithmetic Operations on both sides in order to get p by itself on one side. So we can do the following.

$\sqrt{-5p} = \sqrt{24-p}$ ..... since both sides have square roots we can get rid of them by simply squaring ($x^{2}$) both sides.

$-5p = 24-p$ ......Next we can add p on both sides.

$-4p = 24$ ..... Lastly, we divide -4 on both sides.

$p = -6$

Now we have p by itself on one side and can see that it has a clear value of -6.

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