Find the smaller value of $a$ for which $a^{2}-3a+2=0$

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godwin_ibrahimTyro

Asked: November 18, 20202020-11-18T20:20:40+00:00 2020-11-18T20:20:40+00:00In: Algebra

Find the smaller value of $a$ for which $a^{2}-3a+2=0$

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Find the smaller value of $a$ for which $a^{2}-3a+2=0$

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Sengemegz · Accepted Answer · 2020-12-15T20:49:12+00:00

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Sengemegz Moderator

2020-12-15T20:49:12+00:00Added an answer on December 15, 2020 at 8:49 pm

$a^{2}-3a+2=0$
sum=-3
product= $2$
using factorization method
$\Rightarrow a^{2}-a-2a-2=0$
$\Rightarrow a(a-1)-2(a-1)=0$
$\Rightarrow (a-2)(a-1)=0$
$\Rightarrow either a-2=0 \therefore a=2$
$\Rightarrow$ or $a-1=0 \therefore a=1$
the smaller value of $a$ is 1

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