A quadratic equation whose diffrence of roots is 3 and the sum of the square of the roots is 29 is given by

Answers (1)

Solution:

\ left | alpha -eta 
ight |=3;and;alpha ^2+eta ^2=29\ \Rightarrow left | alpha -eta 
ight |^2=9\ \Rightarrow alpha ^2+eta ^2-2alpha eta =9\ \Rightarrow alpha eta =10\ \Rightarrow (alpha +eta )^2=alpha ^2+eta ^2+2alpha eta Rightarrow (alpha +eta )=pm 7

Requried equation is\x^2pm 7x+10=0

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