the product of zeroes of the polynomial 5x+3x^2+7
Answers
Answered by
2
Step-by-step explanation:
3x^2+5x+7=0
x=-5+_√5^2-4(3)(7)/2(3)
=-5+_√25-84/6
=-5+_√-59/6
=-5+_√9.83
=-5+_3.13
x=-5+3.13 ; -5-3.13
=-1.87 ; -8.13
these are the zeros
product of zeros
1.87×-8.13
=-15.2031
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Answered by
9
Answer:
7/3
Note:
If A and B are the zeros of a given quadratic polynomial ax² + bx + c , then ;
Sum of zeros , (A+B) = -b/a
Product of zeros , (A•B) = c/a
Solution:
Here,
The given quadratic polynomial is :
5x + 3x² + 7 .
The given quadratic polynomial can be rewritten as ; 3x² + 5x + 7 .
Clearly,
We have ;
a = 3
b = 5
c = 7
Also,
The product of zeros of the given quadratic polynomial will be given as c/a.
Thus,
Product of zeros = c/a = 7/3
Hence,
The required answer is 7/3 .
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