Question

if the product of zeros of the polynomial ax²-6x- 6 is 4 find the sum of the zeros of the polynomial

Answer 1

ax2-6x-6=0 let the sum of zeroes be a...
product of roots of a quadratic equation in the form ax2+bx+c=0 is c/a
(-6)/a=4
a=(-6)/4
a=(-3)/2


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Answer 2

Let the two zeros are A and B.
Now AB=(-6/a)=4
This gives a=6/4=>-3/2

Now..... Sum of roots A+B = 6/a=> 6/-3/2


which gives -4
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