If -1

Question

If -1<m<3 then prove that the roots of (x^2)-2mx+(m^2)-1=0 lies in(-2,4).

SAGAR SINGH - IIT DELHI · Answer

Dear student,

Roots of the quadratic are

x1=(2m+root of 4m²-4m²+4)/2

x2=(2m-root of 4m²-4m²+4)/2

Thus x1=m+1

x2=m-1

Hence roots lie between (-2,4)

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