MathDB
The Set That a Variable Belongs To

Source:

June 8, 2009
conicsparabolairrational number

Problem Statement

If the parabola y \equal{} \minus{}x^2 \plus{} bx \minus{} 8 has its vertex on the x x-axis, then b b must be: <spanclass=latexbold>(A)</span> a positive integer<spanclass=latexbold>(B)</span> a positive or a negative rational number<spanclass=latexbold>(C)</span> a positive rational number<spanclass=latexbold>(D)</span> a positive or a negative irrational number<spanclass=latexbold>(E)</span> a negative irrational number <span class='latex-bold'>(A)</span>\ \text{a positive integer}\qquad \\ <span class='latex-bold'>(B)</span>\ \text{a positive or a negative rational number}\qquad \\ <span class='latex-bold'>(C)</span>\ \text{a positive rational number}\qquad \\ <span class='latex-bold'>(D)</span>\ \text{a positive or a negative irrational number}\qquad \\ <span class='latex-bold'>(E)</span>\ \text{a negative irrational number}