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Why is the answer (A)?

Why is the answer (A)?-example-1
User MRX
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(1)/(2)x^2+mx-5=0 \\ \\ x= \frac{-mб \sqrt{m^2-4* (1)/(2)*(-5) } }{2* (1)/(2) }= (-mб √(m^2+10) )/(1)=-mб √(m^2+10)
User John Rayner
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