What is the answer to (5^2)/(x+4^2)=21 ?

The answer to (5^2)/(x+4^2)=21 is x=-311/21

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(5^2)/(x+4^2)=21

\frac{5 ^{2}}{x + 4 ^{2}} = 21

x = - \frac{311}{21}

Decimal Notation

x = - 14.80952 \dots

Solution steps

\frac{5 ^{2}}{x + 4 ^{2}} = 21

Simplify

\frac{5 ^{2}}{x + 4 ^{2}} : \frac{25}{x + 16}

\frac{25}{x + 16} = 21

Multiply both sides by

x + 16

25 = 21 (x + 16)

Switch sides

21 (x + 16) = 25

Divide both sides by

21

x + 16 = \frac{25}{21}

Move

16

to the right side

x = - \frac{311}{21}

Verify Solutions

Find undefined (singularity) points:

x = - 16

Combine undefined points with solutions:

x = - \frac{311}{21}

\frac{( x + 350 )}{x} + 315 = 92 x^{4} - 27

x, t \frac{1}{2} = \frac{0.693}{( x ^{2} \cdot 303 )}

\frac{1}{a} + \frac{1}{b} = \frac{1}{x}

\frac{x - 4}{x + 3} = 5

\frac{x}{( x - 4 ) 2 - 3 ∣ x ^{4} ∣ - 4} = 0

What is the answer to (5^2)/(x+4^2)=21 ?
The answer to (5^2)/(x+4^2)=21 is x=-311/21
Solve for x: (5^2)/(x+4^2)=21
The solution is x=-311/21