# If the equation   has equal roots, prove that .

For a quadratic equation, ax2 + bx + c = 0,

D = b2 – 4ac

If D = 0, roots are equal   D = 4m2c2 – 4(c2 – a2)(1 + m2) = 0

m2c2 – c2 + a2 – c2m2 + a2m2 = 0

c2 = a2(1 + m2)

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