koli123able
Factorize x^412x^264=0



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mathslover
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64 = 8^2 right?

koli123able
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middle term breaking

koli123able
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breaking 12x^2

ayushprasad
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(x^216)(x^2+4)

mathslover
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ok .. :
\[\large{x^4+4x^216x^264=0}\] right?

koli123able
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absolutely right

koli123able
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then factorize it again

mathslover
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ok now ..
\[\large{x^2(x^2+4)16x^264=0}\] right?

koli123able
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(x^216)(x^2+4)

ayushprasad
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(x^216)(x^2+4)= (x4)(x+4)(x^2+4)

mathslover
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right :
\[\large{(a^2b^2)=(a+b)(ab)}\]

mathslover
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\[\large{x^24^2=(x+4)(x4)}\]

koli123able
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x=+4,4

koli123able
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the formula is right but i need to solve this without formula

hal_stirrup
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hoe do you know that????? x=+4,4

koli123able
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x2=16
squaring
x=+4,4

koli123able
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then after that the hard part

koli123able
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using x+4=0

koli123able
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sorry x2+4=0

koli123able
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x^2=4
squaring
x=+2i,2i

hal_stirrup
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you mean x^2+4=0

koli123able
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yeah

koli123able
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its done ok fine thanks for help every body