Multiple choice

If $l$ and $m$ are the roots of equation ${x}^{2}-8x+15=0$, then the value of $lm$ is :

  1. $\sqrt{2}$
  2. $15$
  3. $4$
  4. $4 \sqrt{2}$
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B Correct answer
Explanation

For a quadratic equation x^2 - bx + c = 0, the product of the roots (l*m) is equal to the constant term c. Here, the equation is x^2 - 8x + 15 = 0, so l*m = 15.

AI explanation

Using Vieta's formulas for the equation x^2 - 8x + 15 = 0, the product of the roots l and m is given by the constant term divided by the leading coefficient. Therefore, the product lm equals 15 divided by 1, which is 15.

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