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Sagot :
Answer:
x=0,1,±2
Step-by-step explanation:
x^3(x^2-5)=-4x
x^2(x^2-5)=-4
Take x^2=a, we have
a*(a-5)=-4, a^2-5a+4=0, (a-1)(a-4)=0, a=1,4
x^2=0, 1, 4. x=0,1,±2
Answer:
x = 1 and x = 2
Step-by-step explanation:
[tex] {x}^{5} - 5 {x}^{3} = - 4x \\ {x}^{4} - 5 {x}^{2} + 4 = 0 \\ ( {x}^{2} - 4)( {x}^{2} - 1)=0[/tex]
x² = 4 or x² = 1
- x = ±√4 = -2 or 2
- x = ±√1 = -1 or 1
Since x > 0, the negative integers are rejected and the solutions to this equations are x = 1 and x = 2
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