4x² – 36 = 0
4(x² – 9) = 0
4(x - 3)(x + 3) = 0
x - 3 = 0 or x + 3 = 0
x = 3 or -3
Check
x = 3
4(3)² – 36 = 0
4(9) - 36 = 0
36 - 36 = 0
x = -3
4(-3)² – 36 = 0
4(9) - 36 = 0
36 - 36 = 0
2007-10-25 12:08:17
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answer #1
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answered by Marvin 4
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4x^2-36=0
4x^2=36
x^2=9
x=sqrt of 9
x is equals to 3 or -3(negative 3)
3*3=9 -3*-3=9
Checking:
4(3)^2-36=0
4(9)-36=0
36-36=0
0=0 true
4(-3)^2-36=0
4(9)-36=0
36-36=0
0=0 true also
2007-10-25 12:01:02
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answer #2
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answered by tHeo 2
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4x^2-36=0
4x^2=36 (add both sides by 36 to move the 36)
x^2=9 (divide both sides by 4)
x=3 (square root of nine, ie because thats the opposite of the power of X. You take the square root of both sides. Square root of x^2 is X, Square root of 9 is 3) X=3
Whatever you do to one side you have to do to the other. That would be the sequence.
2007-10-25 11:58:03
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answer #3
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answered by financing_loans 6
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3 and -3
2007-10-25 11:56:19
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answer #4
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answered by Anonymous
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you want to make the x be by itself so you would...
plus 36 to each side to cancel out the -36.
problem remaining: 4x^2=36
then you would divided each side by 4 to cancel out the 4 on the left.
problem remaining: x^2=9
now you would see what times itself equals 9.
which is 3.
because 3 times 3 equals 9.
so x=3
(: hope this helps!!
2007-10-25 12:08:39
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answer #5
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answered by Anonymous
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well bring the 36 to the other side...
so you have 4x^2=36
then divide 36 by 4..
x^2=9
then take the square root to get rid of the square..
and x=sqrt9 or x=3!
2007-10-25 11:56:46
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answer #6
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answered by Anonymous
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ok to whoever wrote 1.5, thats wrong. you guys forgot to take the square root of the coefficient, so it should be 2x=6
anyways, solve it out like this:
4x^2-36=0
4x^2=36
x^2=9
x=+/- 9
remember, if you ever take the square root of something the answer will be +/-
2007-10-25 12:01:23
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answer #7
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answered by some_random_guy61 4
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This is a sum and difference of squares type solution. So the factors are (2x+6)(2x-6) or x= +/-3.
2007-10-25 11:59:58
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answer #8
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answered by cattbarf 7
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x = 3
you do the power first, so x^2 multiplied by 4 equals 36
36 divided by 4 equals 9
sq. route of 9 is 3
so x = 3
2007-10-25 11:56:09
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answer #9
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answered by Anonymous
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x=3
3 squared is 9. 9x4=36.
2007-10-25 11:56:57
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answer #10
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answered by chodepa 1
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