Question

for what value of m the roots of the equations 3 by x+3+m and 5 by x+5+m are of equal magnitude and of opposite sign

Answer 1

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$the \: valueof \: m \: the \: root \: of \: the \: equations \: 3byx + 3 + mand5byx + 5 + mare \: equal \: \\ 5m + 5x + 3m + 3x \\ 5m + 5m + 5x + 3x \\ 10m + 8x \\ 5 | 4mx$