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Question Number 151346 by mathdanisur last updated on 20/Aug/21

x^2  + 5x + 25 = 0  ⇒  x^3  - 100 = ?

$$\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{5x}\:+\:\mathrm{25}\:=\:\mathrm{0}\:\:\Rightarrow\:\:\mathrm{x}^{\mathrm{3}} \:-\:\mathrm{100}\:=\:? \\ $$

Answered by Rasheed.Sindhi last updated on 20/Aug/21

x^2  + 5x + 25 = 0  ⇒  x^3  - 100 = ?  (x−5)(x^2  + 5x + 25) = 0  x^3 −5^3 =0  x^3 −100−25=0  x^3 −100=25

$$\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{5x}\:+\:\mathrm{25}\:=\:\mathrm{0}\:\:\Rightarrow\:\:\mathrm{x}^{\mathrm{3}} \:-\:\mathrm{100}\:=\:? \\ $$$$\left(\mathrm{x}−\mathrm{5}\right)\left(\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{5x}\:+\:\mathrm{25}\right)\:=\:\mathrm{0} \\ $$$$\mathrm{x}^{\mathrm{3}} −\mathrm{5}^{\mathrm{3}} =\mathrm{0} \\ $$$$\mathrm{x}^{\mathrm{3}} −\mathrm{100}−\mathrm{25}=\mathrm{0} \\ $$$$\mathrm{x}^{\mathrm{3}} −\mathrm{100}=\mathrm{25} \\ $$

Commented by mathdanisur last updated on 20/Aug/21

Thank you Ser

$$\mathrm{Thank}\:\mathrm{you}\:\boldsymbol{\mathrm{S}}\mathrm{er} \\ $$

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