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Grade 11Algebra

Find for what value of 'a' equation x²+2ax-(a³-3a-3)=0 has real root

Profile image of sumit
9 Years agoGrade 11
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1 Answer

Profile image of Prapul Muttineni
In the above eq for getting real values the discriminent shoul be greater than 0.So  √(2a^2-4(1)(a^3-3a-3))>0 Please help me by approving
So √4a^2+4a^3+12a+12>0
By factorisation√(a^2+3)(a+1)>0
So (a^2+3)(a+1)>0 
please approve it and help me Thank you