MathDB
Type of Roots

Source:

February 11, 2009
calculusintegration

Problem Statement

Each of the equations 3x^2\minus{}2\equal{}25, (2x\minus{}1)^2\equal{}(x\minus{}1)^2, \sqrt{x^2\minus{}7}\equal{}\sqrt{x\minus{}1} has: <spanclass=latexbold>(A)</span> two integral roots<spanclass=latexbold>(B)</span> no root greater than 3<spanclass=latexbold>(C)</span> no root zero<spanclass=latexbold>(D)</span> only one root<spanclass=latexbold>(E)</span> one negative root and one positive root <span class='latex-bold'>(A)</span>\ \text{two integral roots} \qquad <span class='latex-bold'>(B)</span>\ \text{no root greater than 3} \qquad <span class='latex-bold'>(C)</span>\ \text{no root zero} \\ <span class='latex-bold'>(D)</span>\ \text{only one root} \qquad <span class='latex-bold'>(E)</span>\ \text{one negative root and one positive root}