Sumali sa IDNStudy.com at simulang makuha ang maaasahang mga sagot. Hanapin ang impormasyon na kailangan mo nang mabilis at madali sa pamamagitan ng aming komprehensibo at eksaktong platform ng tanong at sagot.
Sagot :
Solution:
x³ + x² - x² - x = 990
x³ - x = 990
x³ - x - 990 = 0
Factor:
(x-10) (x² + 10x + 99) = 0
x - 10 = 0
x = 10
Solve x² +10x + 99 = 0 by Completing the Square or Quadratic Formula.
By Completing the Square:
ax² + bx + c = 0
ax² + bx + (b/2)² = -c + (b/2)²
b = 10
x² + 10x + (10/2)² = -99 + (10/2)²
x² + 10x + (100/4) = -99 + (100/4)
x² + 10x + 25 = -99 + 25
(x + 5) (x + 5) = -74
(x + 5)² = -74
[tex] \sqrt{(x+5) ^{2} } = \sqrt{-74} [/tex]
[tex]x + 5 = \sqrt{-74} [/tex]
[tex] \sqrt{-74} [/tex] is an imaginary number:
[tex] \sqrt{-74} = +or-i \sqrt{74} [/tex]
[tex]x + 5 -5 = -5 +i \sqrt{74} [/tex]
and
[tex]x+5-5 =-5-i \sqrt{74} [/tex]
Therefore the roots (x) are:
x = 10
[tex]x = -5+i \sqrt{74} [/tex]
[tex]x = -5-i \sqrt{74} [/tex]
x³ + x² - x² - x = 990
x³ - x = 990
x³ - x - 990 = 0
Factor:
(x-10) (x² + 10x + 99) = 0
x - 10 = 0
x = 10
Solve x² +10x + 99 = 0 by Completing the Square or Quadratic Formula.
By Completing the Square:
ax² + bx + c = 0
ax² + bx + (b/2)² = -c + (b/2)²
b = 10
x² + 10x + (10/2)² = -99 + (10/2)²
x² + 10x + (100/4) = -99 + (100/4)
x² + 10x + 25 = -99 + 25
(x + 5) (x + 5) = -74
(x + 5)² = -74
[tex] \sqrt{(x+5) ^{2} } = \sqrt{-74} [/tex]
[tex]x + 5 = \sqrt{-74} [/tex]
[tex] \sqrt{-74} [/tex] is an imaginary number:
[tex] \sqrt{-74} = +or-i \sqrt{74} [/tex]
[tex]x + 5 -5 = -5 +i \sqrt{74} [/tex]
and
[tex]x+5-5 =-5-i \sqrt{74} [/tex]
Therefore the roots (x) are:
x = 10
[tex]x = -5+i \sqrt{74} [/tex]
[tex]x = -5-i \sqrt{74} [/tex]
Pinahahalagahan namin ang bawat ambag mo. Huwag kalimutang bumalik at magtanong ng mga bagong bagay. Ang iyong kaalaman ay napakahalaga sa ating komunidad. Para sa mga de-kalidad na sagot, piliin ang IDNStudy.com. Salamat at bumalik ka ulit sa aming site.
