jazzyfa30
Solve the equation by using the Square Root Property.
x^2 = 21 - 4x
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hartnn
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do you know how to complete the square ?
jazzyfa30
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no
hartnn
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x^2+4x = 21
here, the co-efficient of 'x' is 4
so, divide it by 2, and take its square, what u get ?
jazzyfa30
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4/2=2 square root is 1.4
hartnn
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we need to SQUARE the result
so, 2^2 = 4
now, we add this on both sides.,
x^2+4x+4 = 21+4 = 25
got this ??
notice something about left side ?
jazzyfa30
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u added 4????
hartnn
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yes, i added the result (here, we got 4) to both sides
now notice that left side is a perfect square! isn't it ?
jazzyfa30
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yes
hartnn
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x^2+4x+4 is square of what ?
jazzyfa30
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2
hartnn
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4 is the square of 2
x^2+4x+4 will be square of \(\large (x+2) \\ (x+2)^2 =x^2+4x+4\)
so we have
\((x+2)^2=25\)
take square root of both sides , what u get ?
jazzyfa30
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x+1.4=5
jazzyfa30
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x+2=5 my b
hartnn
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yes..
just put +/- in front of 5
x+2=5 or x+2=-5
hartnn
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can you solve those 2 easy equations ?
x+2= 5....x =.. ?
x+2=-5, ....x=....?
jazzyfa30
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x=3 anx =-7
hartnn
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correct! good work :)
JAYLINB
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JAZZY ITS BRONX
jazzyfa30
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hi what happenedy u not on ur regulrs account
jazzyfa30
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Solve the equation by factoring:
x2 = 18 - 3x
GoldPhenoix
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Does x2 = x^2
And does the = sign suppose to be a + sign?
jazzyfa30
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sorry im still waking up
x^2=18-3x
GoldPhenoix
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I don't think you can factor that.
jazzyfa30
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sorry @hartnn i fell asleep i was up all night literally i didnt geta ounce of sleep until after w finished the problem we just finished
hartnn
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\(x^2+3x-18=0\)
can you tell me 2 numbers with sum = 3 and product = -18 ?
jazzyfa30
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6 and -3
hartnn
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get some rest then! you can continue in the morning ?
yes! 6 and -3 are correct :)
jazzyfa30
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it is morning hear its 8:30 am
hartnn
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so, split up, 3x = 6x-3x
\(x^2+6x-3x-18=0\)
factor out x from 1st 2 terms and -3 from last 2.....can you ?
jazzyfa30
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(x+6)-(x-3) i think
hartnn
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there's no - *minus* sign
\((x+6)(x-3)=0\)
is correct final answer! good :)
jazzyfa30
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oh yeah im sorry yall
hartnn
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and since you need to solve
find x from x+6=0 and x-3=0
jazzyfa30
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-6 andd 3
hartnn
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\(\large \checkmark \)
jazzyfa30
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thank you 5 more and im going to sleep
hartnn
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ok! how about asking new question in new post? :)
jazzyfa30
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i did