Answered

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Use the Information provided to answer Part A and Part B for question 2. lel a represent a non-zera rational number and let b represent an irrational number Part A Which expression could represent a rational number? DE PEFETE Consider a quadratie equation with integer coefficients and two distinct zeros. one zere is ifrational, which staternent is true about the other zero? A The other tere must be rational, B. The other zero must be irracional. c. The emergerouar berleher rational or irrational. De ezero US Del Peel,

Sagot :

For part A, the only possible option that could represent a rational number is

[tex]b^2[/tex]

Because all the other options are irrational numbers.

For part B, the other zero has to be irrational too. To prove this we use the general formula for quadratic equations:

[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \end{gathered}[/tex]

If x1 is an irrational number, then

[tex]\sqrt[]{b^2-4ac}\text{ }[/tex]

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