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Omni-MATH / The real numbers x,y and z satisfy the three equations x+y=7, xz=−180, and (x+y+z)²=4. If S is the sum of the two possible values of y, what is −S?

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problem

The real numbers x,yx, y and zz satisfy the three equations x+y=7x+y=7, xz=−180xz=-180, and (x+y+z)2=4(x+y+z)^{2}=4. If SS is the sum of the two possible values of yy, what is −S-S?
Plain-text mathematical notation (without MathML)
The real numbers x,y and z satisfy the three equations x+y=7, xz=−180, and (x+y+z)²=4. If S is the sum of the two possible values of y, what is −S?
Original LaTeX notation
The real numbers $x, y$ and $z$ satisfy the three equations $x+y=7$, $xz=-180$, and $(x+y+z)^{2}=4$. If $S$ is the sum of the two possible values of $y$, what is $-S$?

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Source and history

task_id
01aa389e-d6ae-5513-ad27-3ea46ec1ee89
task_key
test--01aa389e-d6ae-5513-ad27-3ea46ec1ee89
task_revision_id
1
config / split
/ test

Official source

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