Multiple choice

$1.)\ a^2-7a+12=0$ $2.)\ b^2-3b+2=0$ to solve both the equations to find the values of $a$ and $b$ and choose the correct option?

  1. $a < b$
  2. $a>b$
  3. $a\geq b$
  4. the relationship between $a$ and $b$ cannot be established.
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B Correct answer
AI explanation

To solve equation one, factor the quadratic expression to get (a minus 4) times (a minus 3) equals zero, giving the values of a as 4 or 3. To solve equation two, factor the quadratic expression to get (b minus 2) times (b minus 1) equals zero, giving the values of b as 2 or 1. Because both possible values of a are strictly greater than both possible values of b, a is greater than b.

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