What is the answer to sqrt(x)+8/(sqrt(x))=6 ?

The answer to sqrt(x)+8/(sqrt(x))=6 is x=4,x=16

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sqrt(x)+8/(sqrt(x))=6

x + \frac{8}{x} = 6

x = 4, x = 16

Solution steps

x + \frac{8}{x} = 6

Multiply both sides by

x

x x + \frac{8}{x} x = 6 x

Simplify

(x)^{2} + 8 = 6 x

Move

6 x

to the left side

(x)^{2} + 8 - 6 x = 0

Factor

(x)^{2} + 8 - 6 x : (x - 2) (x - 4)

(x - 2) (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x - 4 = 0

Solve

x - 2 = 0 : x = 4

Solve

x - 4 = 0 : x = 16

x = 4, x = 16

Verify Solutions:

x = 4

True

, x = 16

True

The solutions are

x = 4, x = 16

400 - q = \frac{q}{60} + 5

2 x - 5 = 0

5 a - 9 = 5 a - 3

4 + - 3 m + 10 = m

What is the answer to sqrt(x)+8/(sqrt(x))=6 ?
The answer to sqrt(x)+8/(sqrt(x))=6 is x=4,x=16
Solve for x: sqrt(x)+8/(sqrt(x))=6
The solution is x=4,x=16