Solve for x, y, z
z=3\sqrt{7}\approx 7.937253933
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y=\sqrt{9^{2}-2\times 9}
Consider the second equation. Insert the known values of variables into the equation.
y=\sqrt{81-2\times 9}
Calculate 9 to the power of 2 and get 81.
y=\sqrt{81-18}
Multiply -2 and 9 to get -18.
y=\sqrt{63}
Subtract 18 from 81 to get 63.
y=3\sqrt{7}
Factor 63=3^{2}\times 7. Rewrite the square root of the product \sqrt{3^{2}\times 7} as the product of square roots \sqrt{3^{2}}\sqrt{7}. Take the square root of 3^{2}.
z=3\sqrt{7}
Consider the third equation. Insert the known values of variables into the equation.
x=9 y=3\sqrt{7} z=3\sqrt{7}
The system is now solved.
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