What is the answer to sqrt(x+10)-6/(sqrt(x+10))=5 ?

The answer to sqrt(x+10)-6/(sqrt(x+10))=5 is x=26

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sqrt(x+10)-6/(sqrt(x+10))=5

Solution

x + 10 - \frac{6}{x + 10} = 5

Solution

x = 26

Solution steps

x + 10 - \frac{6}{x + 10} = 5

Multiply both sides by

x + 10

x + 10 x + 10 - \frac{6}{x + 10} x + 10 = 5 x + 10

Simplify

(x + 10)^{2} - 6 = 5 x + 10

Move

5 x + 10

to the left side

(x + 10)^{2} - 6 - 5 x + 10 = 0

Factor

(x + 10)^{2} - 6 - 5 x + 10 : (x + 10 + 1) (x + 10 - 6)

(x + 10 + 1) (x + 10 - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 10 + 1 = 0 or x + 10 - 6 = 0

Solve

x + 10 + 1 = 0 :

No Solution for

x \in R

Solve

x + 10 - 6 = 0 : x = 26

x = 26

Verify Solutions:

x = 26

True

The solution is

x = 26

Graph

Popular Examples

sqrt(9x+10)+4=2x

9 x + 10 + 4 = 2 x

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}

0=x-2sqrt(x)

0 = x - 2 x

2x+1/(sqrt(1-x^2))=0

2 x + \frac{1}{1 - x ^{2}} = 0

4+sqrt(x-1)=5

4 + x - 1 = 5

Frequently Asked Questions (FAQ)

What is the answer to sqrt(x+10)-6/(sqrt(x+10))=5 ?
The answer to sqrt(x+10)-6/(sqrt(x+10))=5 is x=26
Solve for x: sqrt(x+10)-6/(sqrt(x+10))=5
The solution is x=26

sqrt(x+10)-6/(sqrt(x+10))=5

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to sqrt(x+10)-6/(sqrt(x+10))=5 ?

Solve for x: sqrt(x+10)-6/(sqrt(x+10))=5