Ben
Ben Ben
  • 02-11-2020
  • Mathematics
contestada

Solve the equation [tex]x^2+25=0[/tex] by factoring.

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 02-11-2020

x = 5i   x =-5i

Step-by-step explanation:

x^2+25=0

Rewriting

x^2 - (-25)=0

Writing as the difference of squares

a^2 - b^2= (a-b) (a+b)

where a = x and b = (sqrt(-25)) =±5i

( x-5i) ( x+5i) =0

Using the zero product property

x-5i =0    x+5i =0

x = 5i   x =-5i

Answer Link
umairkazi924
umairkazi924 umairkazi924
  • 26-11-2020

Answer:

x = 5i

x = -5i

Step-by-step explanation:

x² + 25 = 0

x² = 0 - 25

x² = -25

x = √-25

x = 5i

Answer Link

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