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Solve the equation x^4=625

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xetaalpha | Student | Honors

Posted June 7, 2013 at 2:28 PM via web

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Solve the equation x^4=625

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 7, 2013 at 2:42 PM (Answer #1)

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The equation x^4=625 has to be solved.

x^4=625

=> x^2 = 25 and x^2 = -25

=> x = 5, x = -5 and x = -5i, x = 5i

The solution of the equation x^4 = 625 is {-5i, 5i, -5, 5}

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atyourservice | TA , Grade 10 | Valedictorian

Posted May 31, 2014 at 11:52 PM (Answer #2)

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x^4=625

x^4 - 625

use the difference of 2 squares:

(x^2+25)(x^2 - 25)

set them equal to 0

x^2 + 25 =0

x = +- 5i

x^2 - 25 =0

x = +-5

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givingiswinning | Student, Grade 10 | Valedictorian

Posted August 16, 2014 at 12:15 AM (Answer #3)

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(x^2+25)(x^2 - 25)

x^2 + 25 =0

`x = +- 5i`

x^2 - 25 =0

`x = +-5`

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