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Omni-MATH / Consider the quadratic equation x²−(r+7)x+r+87=0 where r is a real number. This equation has two distinct real solutions x which are both negative exactly when p<r<q, for some real…

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problem

Consider the quadratic equation x2−(r+7)x+r+87=0x^{2}-(r+7) x+r+87=0 where rr is a real number. This equation has two distinct real solutions xx which are both negative exactly when p<r<qp<r<q, for some real numbers pp and qq. What is the value of p2+q2p^{2}+q^{2}?
Plain-text mathematical notation (without MathML)
Consider the quadratic equation x²−(r+7)x+r+87=0 where r is a real number. This equation has two distinct real solutions x which are both negative exactly when p<r<q, for some real numbers p and q. What is the value of p²+q²?
Original LaTeX notation
Consider the quadratic equation $x^{2}-(r+7) x+r+87=0$ where $r$ is a real number. This equation has two distinct real solutions $x$ which are both negative exactly when $p<r<q$, for some real numbers $p$ and $q$. What is the value of $p^{2}+q^{2}$?

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task_id
7190b285-51de-59c6-938d-0668198177e1
task_key
test--7190b285-51de-59c6-938d-0668198177e1
task_revision_id
1
config / split
/ test

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