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Genrish500 [490]
2 years ago
6

Solve the equation p^2 + 4p = 1 by completing the square.

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
7 0

Answer:

p = -2 ±sqrt( 5)

Step-by-step explanation:

p^2 + 4p = 1

Take the coefficient of p

4

Divide by 2

4/2 =2

Square it

2^2 = 4

Add it to each side

p^2 + 4p+4 = 1+4

(p+2) ^2 = 5

Take the square root of each side

sqrt((p+2) ^2) =±sqrt( 5)

p+2 = ±sqrt( 5)

Subtract 2 from each side

p+2-2 = -2 ±sqrt( 5)

p = -2 ±sqrt( 5)

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
I'm really not sure how to go about solving this algebraic equation, please help! .513 = (2x)^2 / (.05-x)
LiRa [457]
Let's set it up like this:
0.513=\frac{\left(2x\right)^2}{\left(0.05-x\right)}
Multiply both sides by 0.05-x
0.513\left(0.05-x\right)=\frac{\left(2x\right)^2}{0.05-x}\left(0.05-x\right)
0.513\left(0.05-x\right)=4x^2
We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:
x=-\frac{0.513+\sqrt{0.673569}}{8},\:x=\frac{\sqrt{0.673569}-0.513}{8}
The variable x can be both positive or negative.
We have found successfully our answer.

Let me know if you have any questions regarding this problem!
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