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Identical Solutions

Source: AHSME 1963 Problem 4

January 9, 2014

AMC

Problem Statement

For what value(s) of

k

does the pair of equations

y=x^2

and

y=3x+k

have two identical solutions?

<span class='latex-bold'>(A)</span>\ \dfrac{4}{9} \qquad <span class='latex-bold'>(B)</span>\ -\dfrac{4}{9} \qquad <span class='latex-bold'>(C)</span>\ \dfrac{9}{4} \qquad <span class='latex-bold'>(D)</span>\ -\dfrac{9}{4} \qquad <span class='latex-bold'>(E)</span>\ \pm\dfrac{9}{4}

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