What is the answer to sqrt(\sqrt{289)+x}=((1))/((5)) ?

The answer to sqrt(\sqrt{289)+x}=((1))/((5)) is x=-424/25

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sqrt(\sqrt{289)+x}=((1))/((5))

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

x = - \frac{424}{25}

Decimal Notation

x = - 16.96

Solution steps

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

Square both sides:

17 + x = \frac{1}{25}

17 + x = \frac{1}{25}

Solve

17 + x = \frac{1}{25} : x = - \frac{424}{25}

x = - \frac{424}{25}

Verify Solutions:

x = - \frac{424}{25}

True

The solution is

x = - \frac{424}{25}

(1 - x)^{\frac{3}{2}} = x

x + 5 - 10 = - 5

(x + 1)^{2} = ∣ - 5 ∣

5 x + 14 = x

4 x^{\frac{1}{3}} = 20

What is the answer to sqrt(\sqrt{289)+x}=((1))/((5)) ?
The answer to sqrt(\sqrt{289)+x}=((1))/((5)) is x=-424/25
Solve for x: sqrt(\sqrt{289)+x}=((1))/((5))
The solution is x=-424/25