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8 votes
Who can help me X/x+5=6/x

User Shakti Chauhan
by
2.7k points

2 Answers

7 votes
7 votes

Answer:

X=6x+30/x

Explanation:

just simplify

User Amcgregor
by
2.7k points
20 votes
20 votes

Answer:

x = 3 ± √(39)

Explanation:

x 6

----- = -------

(x+5) x

We can solve using cross products

x * x = 6(x+5)

x^2 = 6x+30

Subtract 6x from each side

x^2 -6x= 6x+30-6x

x^2 -6x= 30

Subtract 30 from each side

x^2 -6x -30 = 30-30

x^2 -6x -30 =0

Using the quadratic formula

x = -b ± √(b^2 -4ac)

-------------------------

2a

where a=1 b = -6 and c = -30

x = -(-6) ± √((-6)^2 -4(1)(-30))

-------------------------

2(1)

x = 6 ± √(36 +120)

-------------------------

2

x = 6 ± √(156)

-------------------------

2

x = 6 ± √(4*39)

-------------------------

2

x = 6 ± 2√(39)

-------------------------

2

x = 3 ± √(39)

User Vadim Shender
by
2.8k points