Question

find quadratic polynomial whose zeroes sum is 1/2 and product if -5/2​

Answer 1

Answer:

a+b=½

ab=-5/2

formula to make a quadratic equation by using sum of zeroes and product of zeroes is

=k{x²-(a+b)x+ab}

=k{x²-(½)x+(-5/2)}

=k(x²-½x-5/2)

=k(2x²/2-x/2-5/2) (LCM=2)

=2(2x²/2-x/2-5/2) (k is constant so we have taken value of k is 2to cancle the denominator)

=our eq is 2x²-x-5

Is that right???