What are the solutions to the equation solvefor x,w=x^2+y^2+z^2 ?

The solutions to the equation solvefor x,w=x^2+y^2+z^2 are x=sqrt(w-y^2-z^2),x=-sqrt(w-y^2-z^2)

Find the zeros of solvefor x,w=x^2+y^2+z^2

The zeros of solvefor x,w=x^2+y^2+z^2 are x=sqrt(w-y^2-z^2),x=-sqrt(w-y^2-z^2)

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solve for

x, w = x^{2} + y^{2} + z^{2}

x = w - y^{2} - z^{2}, x = - w - y^{2} - z^{2}

Solution steps

w = x^{2} + y^{2} + z^{2}

Switch sides

x^{2} + y^{2} + z^{2} = w

Move

y^{2}

to the right side

x^{2} + z^{2} = w - y^{2}

Move

z^{2}

to the right side

x^{2} = w - y^{2} - z^{2}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = w - y^{2} - z^{2}, x = - w - y^{2} - z^{2}

- 4 r^{2} - 4 r = 6

36 x^{2} + 84 x + 49 = 0

x^{2} = 1 0^{2} + 6^{2}

x^{2} - 2 x - 5

(x + 8)^{2} = - 4

What are the solutions to the equation solvefor x,w=x^2+y^2+z^2 ?
The solutions to the equation solvefor x,w=x^2+y^2+z^2 are x=sqrt(w-y^2-z^2),x=-sqrt(w-y^2-z^2)
Find the zeros of solvefor x,w=x^2+y^2+z^2
The zeros of solvefor x,w=x^2+y^2+z^2 are x=sqrt(w-y^2-z^2),x=-sqrt(w-y^2-z^2)