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solve-x-2-5x-6-




Question Number 1358 by tabrez8590@gmail last updated on 25/Jul/15
solve  x^2 +5x+6
$${solve} \\ $$$${x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{6} \\ $$
Commented by Rasheed Soomro last updated on 25/Jul/15
x^2 +5x+6=?
$${x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{6}=? \\ $$
Answered by a@b.c last updated on 25/Jul/15
=x^2 +3x+2x+6  =x(x+3)+2(x+3)  =(x+3)(x+2)  If x^2 +5x+6=0  (x+3)(x+2)=0⇒x=−3 or x=−2
$$={x}^{\mathrm{2}} +\mathrm{3}{x}+\mathrm{2}{x}+\mathrm{6} \\ $$$$={x}\left({x}+\mathrm{3}\right)+\mathrm{2}\left({x}+\mathrm{3}\right) \\ $$$$=\left({x}+\mathrm{3}\right)\left({x}+\mathrm{2}\right) \\ $$$$\mathrm{If}\:{x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{6}=\mathrm{0} \\ $$$$\left({x}+\mathrm{3}\right)\left({x}+\mathrm{2}\right)=\mathrm{0}\Rightarrow{x}=−\mathrm{3}\:{or}\:{x}=−\mathrm{2} \\ $$

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