What is the answer to 15=sqrt((x+3)^2+(9-5)^2) ?

The answer to 15=sqrt((x+3)^2+(9-5)^2) is x=-3+sqrt(209),x=-3-sqrt(209)

Solve for x: 15=sqrt((x+3)^2+(9-5)^2)

The solution is x=-3+sqrt(209),x=-3-sqrt(209)

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15 = (x + 3)^{2} + (9 - 5)^{2}

x = - 3 + 209, x = - 3 - 209

Decimal Notation

x = 11.45683 \dots, x = - 17.45683 \dots

Solution steps

15 = (x + 3)^{2} + (9 - 5)^{2}

Square both sides:

225 = x^{2} + 6 x + 25

225 = x^{2} + 6 x + 25

Solve

225 = x^{2} + 6 x + 25 : x = - 3 + 209, x = - 3 - 209

x = - 3 + 209, x = - 3 - 209

Verify Solutions:

x = - 3 + 209

True

, x = - 3 - 209

True

The solutions are

x = - 3 + 209, x = - 3 - 209

47 x - 10.32 x - 5000 = 0

y + 5 = 2 - y - 4

3 x + 96 + 18 = 27

3 x - 2 - x = 3

What is the answer to 15=sqrt((x+3)^2+(9-5)^2) ?
The answer to 15=sqrt((x+3)^2+(9-5)^2) is x=-3+sqrt(209),x=-3-sqrt(209)
Solve for x: 15=sqrt((x+3)^2+(9-5)^2)
The solution is x=-3+sqrt(209),x=-3-sqrt(209)