Grade 10Algebra
For what value of 'm' does the equation, {mx² + (3x-1)m + 2x +5=0} have equal roots but of opposite sign ??
For what value of 'm' does the equation, {mx² + (3x-1)m + 2x +5=0} have equal roots but of opposite sign ??
2 Answers
Arun
Dear student
Use condition that f(0)
For x² + (3m+2)/m x + (5-m)/m = 0
Regards
Arun (askIITians forum expert)
Akash
If roots are equal in magnitude but opposite in sign, then sum of the roots = 0
Given equation can be written as x² + (3m+2)/m x + (5-m)/m = 0
Hence, sum of roots = (3m+2)/m = 0
Hence, m = – 2/3
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