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Omni-MATH / Suppose that a and b are real numbers such that the line y=ax+b intersects the graph of y=x² at two distinct points A and B. If the coordinates of the midpoint of AB are (5,101), c…

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problem

Suppose that aa and bb are real numbers such that the line y=ax+by=a x+b intersects the graph of y=x2y=x^{2} at two distinct points AA and BB. If the coordinates of the midpoint of ABA B are (5,101)(5,101), compute a+ba+b.
Plain-text mathematical notation (without MathML)
Suppose that a and b are real numbers such that the line y=ax+b intersects the graph of y=x² at two distinct points A and B. If the coordinates of the midpoint of AB are (5,101), compute a+b.
Original LaTeX notation
Suppose that $a$ and $b$ are real numbers such that the line $y=a x+b$ intersects the graph of $y=x^{2}$ at two distinct points $A$ and $B$. If the coordinates of the midpoint of $A B$ are $(5,101)$, compute $a+b$.

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Source and history

task_id
ddd41e53-1935-547a-aafc-386e9a904166
task_key
test--ddd41e53-1935-547a-aafc-386e9a904166
task_revision_id
1
config / split
/ test

Official source

initial import