Question

sum and product of roots of the quadratic equation X square minus 4 root 3 X + 9 is equal to zero​

Answer 1

Explanation:

the answer is in the following picture

Answer 2

Solution

Let the given polynomial function be p(x) = x² - 4√3x + 9

To find

1. Sum of Zeros
2. Product of Zeros

Note:

Sum of Zeros : - x coefficient/x² coefficient

Sum of Zeros : - x coefficient/x² coefficientProduct or Zeros: constant term/x² coefficient

Here,

• "x" coefficient » - 4√3

• "x²" coefficient » 1

• constant term » 9

Let @ and ß be the zeros of the given polynomial

Thus,

Sum of Zeros:

@ + ß = 4√3

Product or Zeros:

@ß = 9

Hence, verified