All values of m for which both roots of the equation x 2 -2mx+m 2 -1=0 are greater than -2 and less than 4, lie in the interval.

Question

All values of m for which both roots of the equation x 2 -2mx+m 2 -1=0 are greater than -2 and less than 4, lie in the interval.

Arun · Answer

Dear student using the quadratic formula you see that x = [ 2m ±2 ] / 2 or x = m ±1....x in ( - 2 , 4 ) means m in ( - 1 , 3 ) hence option A is correct

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All values of m for which both roots of the equation x 2 -2mx+m 2 -1=0 are greater than -2 and less than 4, lie in the interval.

All values of m for which both roots of the equation x²-2mx+m²-1=0 are greater than -2 and less than 4, lie in the interval.

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All values of m for which both roots of the equation x 2 -2mx+m 2 -1=0 are greater than -2 and less than 4, lie in the interval.

All values of m for which both roots of the equation x2-2mx+m2-1=0 are greater than -2 and less than 4, lie in the interval.

1 Answers

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All values of m for which both roots of the equation x²-2mx+m²-1=0 are greater than -2 and less than 4, lie in the interval.