Multiple choice

Find the value of $t$, if the product of roots of the equation is $8$. $\displaystyle 18{ x }^{ 2 }+9x-t=0$

  1. $144$
  2. $-144$
  3. $72$
  4. $-72$
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B Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the product of roots is c/a. Here, the equation is 18x^2 + 9x - t = 0, so the product is -t/18. Setting -t/18 = 8 gives -t = 144, so t = -144.

AI explanation

For a quadratic equation ax^2 + bx + c = 0, the product of the roots is c/a. In the equation 18x^2 + 9x - t = 0, the product of the roots is -t/18. Setting this equal to 8 gives -t/18 = 8, so t = -144.

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