You have questions? We got answers!

Solve the equation. (x+3)^(2/3) = 25?

Science & Mathematics by Anonymous 2018-07-12 05:34:26

Social Science

Solve the equation. (x+3)^(2/3) = 25?

7 answers

I keep getting x=122 as an answer, but Web Assign keeps saying my answer is incorrect. Is it possible that there are multiple answers?

  • Anonymous

    (x + 3)^(2/3) = 25 x + 3 = 25^(3/2) x + 3 = 125 x = 122 You are correct.

  • Anonymous

    x+3 = 125 x = 122

  • Anonymous

    (x+3)^(2/3) = 25 x + 3 = 25^(3/2) x + 3 = ±5^(3) x + 3 = ±125 for +125 x + 3 = 125 x = 122 for –125 x = – 128

  • Anonymous

    x + 3 = 25^(3/2) x + 3 = 5^3 x = 125 - 3 x = 122

  • Anonymous

    (x + 3)^(2/3) = 25 Ln[(x + 3)^(2/3)] = Ln(25) Ln[(x + 3)^(2/3)] = Ln(5²) → you know that: Ln(x^a) = a.Ln(x) (2/3).Ln(x + 3) = 2.Ln(5) (1/3).Ln(x + 3) = Ln(5) Ln(x + 3) = 3.Ln(5) → recall: a.Ln(x) = Ln(x^a) Ln(x + 3) = Ln(125) x + 3 = 125 → x = 122

  • Anonymous

    (x + 3)^(2/3) = 25 x + 3 = 25^(3/2) x = 25^(3/2) - 3 Solution: x = 122

  • Anonymous

    [(x+3)^(2/3)]^3=25^3 Then you have to expand it to get: x^2+6x+9=15625 Then apply the quadratic equation, and you will get 2 answers. x=122,\:x=-128 I got the same answer as yours. So your answer is correct.

ReCapcha
Not a bot