soggybeanie soggybeanie
  • 02-07-2019
  • Mathematics
contestada

what is the solution set of the quadratic inequality x^2-5<_0

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 02-07-2019

Answer:

-sqrt(5) ≤ x ≤ sqrt(5)

Step-by-step explanation:

x^2-5≤0

Add 5 to each side

x^2-5+5≤0+5

x^2 ≤5

Take the square root of each side, remembering to flip the inequality for the negative sign.  Since this is less than we use and in between

sqrt(x^2) ≤ sqrt(5)   and sqrt(x^2) ≥ -sqrt(5)  

x ≤ sqrt(5) and x ≥- sqrt(5)  

-sqrt(5) ≤ x ≤ sqrt(5)

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