PEPE1HEFR0G
PEPE1HEFR0G PEPE1HEFR0G
  • 19-09-2021
  • Mathematics
contestada

Solve for x:
x^2=a

If a<0, then
If a=0, then
If a>0, then

Respuesta :

mavivian
mavivian mavivian
  • 19-09-2021

if a > 0, there are two possible solutions:

[tex]x^{2} = a\\\sqrt{x^{2} } = \sqrt{a} \\[/tex]

the square root of a square is the base in absolute value bars

[tex]|x| = \sqrt{a}[/tex]

[tex]x = -\sqrt{a} ; x = \sqrt{a}[/tex]

if a = 0, that means x = 0. anything multiplied by 0 is 0

if a < 0, there are no solutions because anything squared has to be positive

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