Question

X=5^1/3+5^-1/3,5x^3-15x

Answer 1

Answer:x=5^1/3 , 5^-1/3

5x^3-15x

5 (5^1/3+5^-1/3)^3 -15 (5^1/3+5^-1/3)

5 (5^1/3)+(5^-1/3)^3

5 (5+1/5)

5 (26/5)

=26

Step-by-step explanation:

Answer 2

Answer:

The value of $x=1,+\sqrt{3}, -\sqrt{3}$

Step-by-step explanation:

We are given two equations $x=5^{\frac{1}{3} } +5^{-\frac{1}{3} }$

and

$5x^3-15x=0$

Solving first equation

$x=5^{0}$

Anything raise to the power is zero.

$x=1$

Similarly second equation becomes

$5x^3-15x=0$

$5x(x^{2} -3)=0$

$x^{2}=3$

$x=+\sqrt{3}, -\sqrt{3}$

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