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Step-by-step explanation:
use the formula b^2 - 4 a c = 0
where b = 2mc, a= 1 + m^2, c = c^2 - a^2
(2mc) ^2 - 4 * (1 + m^2) * (c^2 - a^2) = 0
4m^2c^2 - 4 (c^2 - a^2 + c^2 m^2 - a^2 m^2) = 0
4(m2c2 - c2 + a2 - c2m2 + a2m2) = 0
-c2 + a2 + a2m2 = 0
c2 = a2 + a2m2
c2 = a2 (1 + m2)
proved
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