MathDB
Zero Discriminant

Source:

February 15, 2009
calculusintegration

Problem Statement

About the equation ax^2 \minus{} 2x\sqrt {2} \plus{} c \equal{} 0, with a a and c c real constants, we are told that the discriminant is zero. The roots are necessarily: <spanclass=latexbold>(A)</span> equal and integral<spanclass=latexbold>(B)</span> equal and rational<spanclass=latexbold>(C)</span> equal and real <span class='latex-bold'>(A)</span>\ \text{equal and integral} \qquad<span class='latex-bold'>(B)</span>\ \text{equal and rational} \qquad<span class='latex-bold'>(C)</span>\ \text{equal and real} <spanclass=latexbold>(D)</span> equal and irrational<spanclass=latexbold>(E)</span> equal and imaginary <span class='latex-bold'>(D)</span>\ \text{equal and irrational} \qquad<span class='latex-bold'>(E)</span>\ \text{equal and imaginary}