2007-03-28 10:23:02 · 8 answers · asked by Truly Amazing 2 in Education & Reference ➔ Homework Help
4 (x+2)^2 = 16
(x+2)^2 = 4
x+2 = 2 or x+2 = -2
x = 0 or x = -4
2007-03-28 10:26:28 · answer #1 · answered by Anonymous · 0⤊ 1⤋
1.) First you take 4 and multiply it by x and then by 2.
then you have 4x+8^2=16
2.) Next you take 8 to the power of 2, in other words 8 x 8. That equals 64.
then you have 4x+64=16
3.) Next you subtract 64 to eliminate it and then subtract 64 from 16. That equals -48.
then you have 4x= -48.
4.) Divide 4 and -48 by 4. (This eliminates the 4 in 4x)
then you have x= -12
5.) Answer is x= -12
(As much as it sounds confusing, it is actually quite easy if you understand distributive property.)
2007-03-28 17:47:52 · answer #2 · answered by Anonymous · 0⤊ 0⤋
4(x+2)^2 = 16 => (x+2)^2 = 4 => x+2 = +-2
x+2 = +2 => x = 0
x+2 = -2 => x = -4
2007-03-28 17:26:28 · answer #3 · answered by Tilt22 2 · 0⤊ 1⤋
1. Divide by 4
(x+2)^2 = 4
2. Take square root of each side
x+2 = +/-2
3. Subtract 2
x=0/-4
4. Check
(x=0)
4(0+2)^2 = 16
4(4) = 16
16 = 16
and
(x=-4)
4(-4+2)^2 = 16
4(4) = 16
16=16
HOORAY!!!
2007-03-28 17:26:55 · answer #4 · answered by Anonymous · 0⤊ 1⤋
4(x+2)^2=16
4(x^2+4)=16
4x^2 + 16 =16
4x^2=0
x^2 =0
x=0
2007-03-28 17:26:48 · answer #5 · answered by hadouken 3 · 0⤊ 1⤋
4(x+2)^2=16
divide by 4
(x + 2)^2 = 4
multiply it out
x^2 + 4x + 4 = 4
subtract 4
x^2 + 4x = 0
factor out an x
x(x + 4) = 0
solve each part for 0
x = 0
x + 4 = 0
x = -4
so, x = -4,0
2007-03-28 17:27:03 · answer #6 · answered by crzywriter 5 · 0⤊ 1⤋
really u re so silly
2007-03-28 17:27:42 · answer #7 · answered by luxorheart 1 · 1⤊ 0⤋
YOU ARE CHEATING YOURSELF OF A REAL EDUCATION
STOP CHEATING
2007-03-28 17:30:06 · answer #8 · answered by shugashayne 2 · 0⤊ 0⤋