What is the answer to x=sqrt(13^2-(7+x)^2) ?

The answer to x=sqrt(13^2-(7+x)^2) is x=5

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x=sqrt(13^2-(7+x)^2)

x = 1 3^{2} - (7 + x)^{2}

x = 5

Solution steps

x = 1 3^{2} - (7 + x)^{2}

Square both sides:

x^{2} = - x^{2} - 14 x + 120

x^{2} = - x^{2} - 14 x + 120

Solve

x^{2} = - x^{2} - 14 x + 120 : x = - 12, x = 5

x = - 12, x = 5

Verify Solutions:

x = - 12

False

, x = 5

True

The solution is

x = 5

9 x^{2} + 5 = 3 x + 5

x + 5 - 2 x + 8 = 0

x + 16 - 4 x = 4 - 2 x

x^{2} + 8 - 3 = 0

x^{2} + 2^{2} = 6 x + 1

What is the answer to x=sqrt(13^2-(7+x)^2) ?
The answer to x=sqrt(13^2-(7+x)^2) is x=5
Solve for x: x=sqrt(13^2-(7+x)^2)
The solution is x=5