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if one roots of the equation ax2+bx+c=0 be the square of the other,prove that b3+a2c+ac2=3abc

swapnil dhadve , 6 Years ago
Grade 11
anser 1 Answers
shubham

Last Activity: 6 Years ago

let roots be t,t2.
then,
at2+bt+c=0 ---------------(1)
t+t2=-b/a.
t3=c/a;
=>t=(c/a)1/3.
substitute this value in eq 1 and simplyfy to get the result.

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