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8a-6-5a-3-1-factorize-




Question Number 25899 by maheshagarwal last updated on 16/Dec/17
8a^6 +5a^3 +1=factorize
$$\mathrm{8}{a}^{\mathrm{6}} +\mathrm{5}{a}^{\mathrm{3}} +\mathrm{1}={factorize} \\ $$
Commented by sushmitak last updated on 16/Dec/17
a^3 =x  x=((−5±(√(25−32)))/(16))=((−5±ι(√7))/(16))  factors  (a^3 −((−5+ι(√7))/(16)))(a^3 −((−5−ι(√7))/(16)))
$${a}^{\mathrm{3}} ={x} \\ $$$${x}=\frac{−\mathrm{5}\pm\sqrt{\mathrm{25}−\mathrm{32}}}{\mathrm{16}}=\frac{−\mathrm{5}\pm\iota\sqrt{\mathrm{7}}}{\mathrm{16}} \\ $$$${factors} \\ $$$$\left({a}^{\mathrm{3}} −\frac{−\mathrm{5}+\iota\sqrt{\mathrm{7}}}{\mathrm{16}}\right)\left({a}^{\mathrm{3}} −\frac{−\mathrm{5}−\iota\sqrt{\mathrm{7}}}{\mathrm{16}}\right) \\ $$
Answered by maheshagarwal last updated on 16/Dec/17

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