What is the answer to ((x))/(sqrt(2x+1))=5 ?

The answer to ((x))/(sqrt(2x+1))=5 is x=5(5+sqrt(26))

Solve for x: ((x))/(sqrt(2x+1))=5

The solution is x=5(5+sqrt(26))

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\frac{( x )}{2 x + 1} = 5

x = 5 (5 + 26)

Decimal Notation

x = 50.49509 \dots

Solution steps

\frac{( x )}{2 x + 1} = 5

Multiply both sides by

2 x + 1

\frac{x}{2 x + 1} 2 x + 1 = 5 2 x + 1

Simplify

x = 5 2 x + 1

Square both sides:

x^{2} = 50 x + 25

x^{2} = 50 x + 25

Solve

x^{2} = 50 x + 25 : x = 5 (5 + 26), x = 5 (5 - 26)

x = 5 (5 + 26), x = 5 (5 - 26)

Verify Solutions:

x = 5 (5 + 26)

True

, x = 5 (5 - 26)

False

The solution is

x = 5 (5 + 26)

3 x - 5 - 13 = - 11

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

71.3 = 9.0829 5^{2} + y^{2}

x^{2} - 11 + x - 11 = 0

What is the answer to ((x))/(sqrt(2x+1))=5 ?
The answer to ((x))/(sqrt(2x+1))=5 is x=5(5+sqrt(26))
Solve for x: ((x))/(sqrt(2x+1))=5
The solution is x=5(5+sqrt(26))