#1
I'm stuck on a math problem and couldn't find examples of how to do one like this. It's solving an equation by the square root property.

(4x + 1)^2 = 20
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#2
Math and Science help thread...
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#3
see it is as
(4x + 1)^2 = 20
4x + 1 = + or - the square root of 20
4x = -1 + or - the square root of 20
x = -1 + or - the square root of 20 over 4
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#4
Quote by BlackIce87
Math and Science help thread...

Didn't know there was one.

Thanks for being nice about it...
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Quote by shavorules42
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#5
^+1
edit: to the equation guy.
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#6
Quote by will123456789
see it is as
(4x + 1)^2 = 20
4x + 1 = + or - the square root of 20
4x = -1 + or - the square root of 20
x = -1 + or - the square root of 20 over 4


But that's not entirely it.

x = -1 + or - the square root of 20 over 4

For convenience, I'll just write the above as:

x=-1 +/- (V20)/4

Then we go:

x=-1 +/- (V20)/4
x=-1 +/- (2V5)/4 [I factored a 4 out of the 20, giving us 2 times the square root of 5)
x=-1 +/- (V5)/2 FINAL ANSWER

There ya go.
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#7
I think you have to square each term, then add that to the product of the terms doubled. Then it's as simple as solving for x.

But, I haven't taken Algebra in years, so...
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#8
Another way to look at (4x + 1)^2 = 20 is (4x + 1)(4x + 1) = 20
So from there, solve for x:

(4x + 1)(4x + 1) = 20
16x + 4x + 4x + 1 = 20
24x + 1 = 20
24x = 19
x = 19/24

...I think...it's been a while....
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#9
Quote by asfastasdark
But that's not entirely it.

x = -1 + or - the square root of 20 over 4

For convenience, I'll just write the above as:

x=-1 +/- (V20)/4

Then we go:

x=-1 +/- (V20)/4
x=-1 +/- (2V5)/4 [I factored a 4 out of the 20, giving us 2 times the square root of 5)
x=-1 +/- (V5)/2 FINAL ANSWER

There ya go.

This is right, the other guy was wrong. One question though.


In the final answer, how'd you get 2 as a denominator?
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Quote by shavorules42
start with more poppy music with occasional screams and then work your way into emoish crap like a day to remember and so on.
#10
Quote by carrotcake
This is right, the other guy was wrong. One question though.


In the final answer, how'd you get 2 as a denominator?


since the 2 is multiplied by root 5, you can reduce it with the 4 on the bottom.
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#11
Quote by parigod
since the 2 is multiplied by root 5, you can reduce it with the 4 on the bottom.

This.
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#12
Quote by parigod
since the 2 is multiplied by root 5, you can reduce it with the 4 on the bottom.

Ah, I was looking at it a weird way. Makes sense now lol.
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Quote by shavorules42
start with more poppy music with occasional screams and then work your way into emoish crap like a day to remember and so on.
#13
Quote by zeppelin42
Another way to look at (4x + 1)^2 = 20 is (4x + 1)(4x + 1) = 20
So from there, solve for x:

(4x + 1)(4x + 1) = 20
16x + 4x + 4x + 1 = 20
24x + 1 = 20
24x = 19
x = 19/24

...I think...it's been a while....


16x^2, broski.
#14
Quote by asfastasdark
But that's not entirely it.

x = -1 + or - the square root of 20 over 4

For convenience, I'll just write the above as:

x=-1 +/- (V20)/4

Then we go:

x=-1 +/- (V20)/4 ACTUAL RIGHT ANSWER
x=-1 +/- (2V5)/4 [I factored a 4 out of the 20, giving us 2 times the square root of 5)
x=-1 +/- (V5)/2 FINAL ANSWER

There ya go.



Close but not quite. You factored too far.
#15
Quote by Icehawk217
Close but not quite. You factored too far.

You can simplify V20, so yeah, he was right.
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Quote by shavorules42
start with more poppy music with occasional screams and then work your way into emoish crap like a day to remember and so on.
#16
Quote by Soul-Monger
16x^2, broski.

This

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#17
Quote by carrotcake
You can simplify V20, so yeah, he was right.


he forgot to simplify the -1