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

Answer Link

Otras preguntas

what two number multply 8 and add to give 6
What is the 33rd term of this arithmetic sequence? 12, 7, 2, -3, -8, …
Please help me with my math question! Felisa is creating a scrapbook of her family. A photo of her grandmother measures 3 inches by 5 inches. She enlarges it by
Which of these describes muscle cells? 1)specialized cells that protect the body from harmful bacteria 2)specialized cells that maintain structural support 3
to make a fruit salad Marvin mixes 1 3/4 cups of diced peaches with 2 1/4 cups of diced pears how many cups of peaches and pears are in a fruit salad
(2,?) is on the line 4x - 5y = -7 Find the other half o the coordinate
Which characteristic was not a reason that the industrial revolution began in england
how does the number of pieces in a whole relate to the size of each piece?
Mark the items if they were products that Europeans wanted from the Americas. A. indigo and cochineal B. animal hides C. silver and gold D. grapes and oliv
jeremy gives his horse 12 gallons of water each day.how many 1-quart pails of water is that?