Question

The product of the roots of a quadratic equation 2x²-5x+3=0 is 5/2 if it is correct give reason

Answer 1

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Answer:

  It is incorrect. The product is 3/2.

Step-by-step explanation:

The factored form of a quadratic with roots p and q can be ...

  a(x -p)(x -q) = ax² -a(p+q) +apq

Then the product of the roots is the ratio of the constant to the leading coefficient:

  pq = (apq)/a

In the given quadratic, that product is ...

  pq = 3/2 . . . . . . not 5/2

The statement that the product of roots is 5/2 is incorrect. That value does not have the required relationship to the coefficients of the quadratic.