MathDB
2019 Individual #16

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May 1, 2022
2019 Individual

Problem Statement

For some constant bb, the graph of y=x2+b2+2bx−b+2y = x^2 + b^2 + 2bx - b + 2 has only one xx intercept. What is the value of bb?
<spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>4<spanclass=′latex−bold′>(D)</span>8<spanclass=′latex−bold′>(E)</span>10<span class='latex-bold'>(A) </span>1\qquad<span class='latex-bold'>(B) </span>2\qquad<span class='latex-bold'>(C) </span>4\qquad<span class='latex-bold'>(D) </span>8\qquad<span class='latex-bold'>(E) </span>10
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