Question

If (x/5) + (5/x) = – 2, then what is the value of x3?

A) –125 B) 5 C) 1/125 D) 625

Answer 1

Answer:

$\frac{x}{5} + \frac{5}{x} = - 2 \\ \frac{ {x}^{2} + 25 }{5x} = - 2 \\ \\ {x}^{2} + 25 = - 10x \\ {x}^{2} + 10x + 25$

By middle term splitting

X=-5

${x}^{3} = - 125$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀-ThesnowyPrince

Answer 2

Answer:

answer would be:a. -125

Step-by-step explanation:

x/5+5/x= -2

x²+25/5x= -2

x²+10x+25 =0

x²+5x+5x+25=0

x(x+5)+5(x+5)=0

(x+5) (x+5)

x= -5

x³=(-5)³

x³= -125

I HOPE IT WILL HELP YOU!!

HAVE A NICE DAY