Multiple choice

Find the lesser root of the equation $x^2-12x+35=0$.

  1. $5$
  2. $7$
  3. $9$
  4. $11$
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A Correct answer
Explanation

Factoring x^2 - 12x + 35 = 0 gives (x - 5)(x - 7) = 0. The roots are 5 and 7. The lesser root is 5.

AI explanation

To find the roots of the quadratic equation x^2 - 12x + 35 = 0, we factor the quadratic expression. We look for two numbers that multiply to 35 and add to -12, which are -5 and -7. Setting the factors (x - 5)(x - 7) = 0 gives the roots x = 5 and x = 7. The lesser of these two roots is 5.

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