anakosquared anakosquared
  • 22-02-2022
  • Mathematics
contestada

If a> 1 then prove that a^2>1

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 22-02-2022

Step-by-step explanation:

a² = a × a

a > 1

a² = (1+d) × (1+d) = 1² + 2d + d²

with d > 0

since d > 0, then so is 2d and also d².

so, a² is the sum of 1² = 1 and something greater than 0.

so, a² > 1

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