I
iTeachChem•7mo ago
Slembash

Quadratic Equations

I am unable to simplify the equation. I have tried thinking it the way done in image. Please help me out !!
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9 Replies
iTeachChem Helper
iTeachChem Helper•7mo ago
@Apu
iTeachChem Helper
iTeachChem Helper•7mo ago
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
Slembash
SlembashOP•7mo ago
all the Q are about Discriminant only but can't simplify the given equation, will cases be made since mod is thr ?? but how?
SirLancelotDuLac
SirLancelotDuLac•7mo ago
The only thing to keep in mind is that the root to your pseudo-quadratic must be negative or complex for the first one. For the second one, both must be non-negative. You can replace mod(x)^2 with x^2. So no problem there. Only problem is converting x^2=t.
Slembash
SlembashOP•7mo ago
okay thnku, i will retry well when i replace and solve, then to nothing changes as such x^4 + (1-2k)x^2 +k^1 -1 =0 and still, if d>0 then k>5/4 , then how is (-infinity to -1) ki range coming for 1st part can u tell if there will be cases formed or not, since modulus is thr ? woh -1 uss dusre case se aa raha hai maybe, but kaise idk
SirLancelotDuLac
SirLancelotDuLac•7mo ago
The two cases: i.) D<0 ii.) D>0 but roots are -ve
SirLancelotDuLac
SirLancelotDuLac•7mo ago
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Slembash
SlembashOP•7mo ago
okayy got it thank u very much🙏 +solved @SirLancelotDuLac
iTeachChem Helper
iTeachChem Helper•7mo ago
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