Multiple choice

Find the value of the $p$, if the sum of roots of equation is $20$ $\displaystyle p{ x }^{ 2 }+20x-18=0$

  1. $1$
  2. $-1$
  3. $20$

  4. None
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B Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the sum of roots is -b/a. Here, -20 / p = 20. Solving for p gives p = -1.

AI explanation

For the quadratic equation px^2 + 20x - 18 = 0, the sum of the roots is given by -b/a. Here, a = p and b = 20, so the sum of the roots is -20/p. We are given that the sum of the roots is 20, which establishes the equation -20/p = 20. Solving for p by cross-multiplying gives 20p = -20, resulting in p = -1.

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