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Find the solutions of 4s²-12s = -9 by factoring​

User Zzyrk
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1 Answer

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Steps Using Factoring By Grouping


4 {s}^(2) - 12s = - 9


4 {s}^(2) - 12s + 9 = 0


(4 {s}^(2) - 6s) + ( - 6s + 9) = 0


2s(2s - 3) - 3(2s - 3) = 0


(2s - 3)(2s - 3) = 0


(2s - 3) {}^(2) = 0


2 s - 3 = 0


\: \: \: \: \: \: \: 2s = 0 + 3


\: \: \: \: \: \: \: 2s = 3


\: \: \: \: \: \: \: \: \: s = (3)/(2)


\: \: \: \: \: \: \: \: \: s = 1 (1)/(2)


\: \: \: \: \: \: \: \: \: s = 1,5


\green {\boxed{s = (3)/(2) = 1 (1)/(2) =1,5}}

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User BigBagel
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