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Grade 12Algebra

x²+(a-b)x + (1-a-b)=0

a, b € R

Find the condition on a for which both roots of the equation are real and unequal b€R

ashu Joshi

12 Years agoGrade 12

2 Answers

Arun Kumar

12 Years ago

Hi,

$\\ (a-b)^2-4(1-a-b) \\=>a^2+b^2-2ab+4a+4b-4>0 \\=>D<0 \\=>(-2b+4)^2-4(4b-4+b^2)<0 \\=>4b^2+16-16b-16b+16-4b^2< \\=>b>1$

Thanks & Regards

Arun Kumar

IIT Delhi

Askiitians Faculty

Arun Kumar

12 Years ago

a can belong to real no.

Thanks & Regards

Arun Kumar

IIT Delhi

Askiitians Faculty

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