What is the answer to 3=sqrt(5+(3-k)^2) ?

The answer to 3=sqrt(5+(3-k)^2) is k=5,k=1

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3=sqrt(5+(3-k)^2)

3 = 5 + (3 - k)^{2}

k = 5, k = 1

Solution steps

3 = 5 + (3 - k)^{2}

Square both sides:

9 = k^{2} - 6 k + 14

9 = k^{2} - 6 k + 14

Solve

9 = k^{2} - 6 k + 14 : k = 5, k = 1

k = 5, k = 1

Verify Solutions:

k = 5

True

, k = 1

True

The solutions are

k = 5, k = 1

2 x + 10 - 6 = 2

x + 5 - 1 = 0

x^{2} - x - 6 = x + 5

3 x^{2} + 8 x - 33 = 0

x, y = 64 - x^{2}

What is the answer to 3=sqrt(5+(3-k)^2) ?
The answer to 3=sqrt(5+(3-k)^2) is k=5,k=1
Solve for k: 3=sqrt(5+(3-k)^2)
The solution is k=5,k=1