Quadratic equation NSEJS one
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If mx² + (3x - 1)m + 2x + 5 = 0 has equal roots of opposite signs then m = - 2/3
Step-by-step explanation:
Question should be
mx² + (3x - 1)m + 2x + 5 = 0
=> mx² + 3mx - m + 2x + 5 = 0
=> mx² + (3m + 2)x + 5 - m = 0
as it given that Equal roots but of opposite sign
=> Sum of roots = 0
Sum of roots = -(3m+2)/m
-(3m+2)/m = 0
=> 3m + 2 = 0
=> m = -2/3
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