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consider the equation |x^2-2x-3|=m,:m belongs to R
1] values of m so that the given equation has four solution in the interval
2] if the eqn has 3 soln then
3]if the given eqn has two solutions then
Graph of |x^2-2x-3| is:
Now,
1] values of m so that the given equation has four solution in the interval =
If m belongs to (0,4)
2] if the eqn has 3 soln then =
m belongs to {4}
3] if the given eqn has two solutions then:
m belongs to (4, U {0}
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