Resolva a equação:
[tex]\rm{ \sqrt{ {x}^{2} + 9} + \dfrac{15}{ \sqrt{ {x}^{2} + 9} } = 8}[/tex]
[tex]\rm{ \sqrt{ {x}^{2} + 9} + \dfrac{15}{ \sqrt{ {x}^{2} + 9} } = 8}[/tex]
More Questions From This User See All
Copyright © 2024 ELIBRARY.TIPS - All rights reserved.
Lista de comentários
Verified answer
Resposta:
multiplique tudo por √(x²+9)
√(x²+9) + 15/√(x²+9) =8
√(x²+9)* √(x²+9) + 15*√(x²+9)/√(x²+9) =8√(x²+9)
√(x²+9)² + 15 =8√(x²+9)
x²+9+15=8√(x²+9)
x²+24= 8√(x²+9)
(x²+24)²= [8√(x²+9)]²
x⁴+48x²+24² =64 *(x²+9)
x⁴+48x²+576=64x²+576
x⁴+48x²=64x²
x⁴-16x²=0
x²*(x²-16)=0
x²=0 ==>x=0
x²-16=0 ==>x²=16 ==> x=±√16=±4
resposta { -4 , 0 ,4 }