What is the answer to (sqrt(x)+8)/(sqrt(x)-2)=sqrt(x)+2 ?

The answer to (sqrt(x)+8)/(sqrt(x)-2)=sqrt(x)+2 is x=16

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(sqrt(x)+8)/(sqrt(x)-2)=sqrt(x)+2

Solution

\frac{x + 8}{x - 2} = x + 2

Solution

x = 16

Solution steps

\frac{x + 8}{x - 2} = x + 2

Multiply both sides by

x - 2

\frac{x + 8}{x - 2} (x - 2) = x (x - 2) + 2 (x - 2)

Simplify

x + 8 = x (x - 2) + 2 (x - 2)

Subtract

x (x - 2) + 2 (x - 2)

from both sides

x + 8 - (x (x - 2) + 2 (x - 2)) = x (x - 2) + 2 (x - 2) - (x (x - 2) + 2 (x - 2))

Simplify

- (x)^{2} + x + 12 = 0

Factor

- (x)^{2} + x + 12 : - (x + 3) (x - 4)

- (x + 3) (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 3 = 0 or x - 4 = 0

Solve

x + 3 = 0 :

No Solution for

x \in R

Solve

x - 4 = 0 : x = 16

x = 16

Verify Solutions:

x = 16

True

The solution is

x = 16

Graph

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solvefor G,0.0125G^{0.5}G^{0.5}=0.05M^{0.5}M^{0.5}solve for

G, 0.0125 G^{0.5} G^{0.5} = 0.05 M^{0.5} M^{0.5}

Frequently Asked Questions (FAQ)

What is the answer to (sqrt(x)+8)/(sqrt(x)-2)=sqrt(x)+2 ?
The answer to (sqrt(x)+8)/(sqrt(x)-2)=sqrt(x)+2 is x=16
Solve for x: (sqrt(x)+8)/(sqrt(x)-2)=sqrt(x)+2
The solution is x=16

(sqrt(x)+8)/(sqrt(x)-2)=sqrt(x)+2

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to (sqrt(x)+8)/(sqrt(x)-2)=sqrt(x)+2 ?

Solve for x: (sqrt(x)+8)/(sqrt(x)-2)=sqrt(x)+2