Find the roots of the quadratic equation $5+3y-2y^{2}=0$

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godwin_ibrahimTyro

Asked: November 18, 20202020-11-18T20:30:30+00:00 2020-11-18T20:30:30+00:00In: Algebra

Find the roots of the quadratic equation $5+3y-2y^{2}=0$

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Find the roots of the quadratic equation $5+3y-2y^{2}=0$

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Sengemegz · Accepted Answer · 2020-12-17T20:24:03+00:00

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Sengemegz Moderator

2020-12-17T20:24:03+00:00Added an answer on December 17, 2020 at 8:24 pm

$5+3y-2y^2=0$
sum=3
product= $5\times -2=-10$
using factorization method
$\Rightarrow 5+5y-2y-2y^{2}=0$
$\Rightarrow 5(1+y)-2y(1+y)=0$
$\Rightarrow (1+y)(5-2y)=0$
either $1+y=0 \therefore y=-1$
or $5-2y=0 \therefore y=\dfrac{5}{2}$

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