if alpha and beta are the zeros of quadratic polynomial x square - 3 x + 5 then value of alpha + beta
Answers
Answer:
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Step-by-step explanation:
Given:-
alpha and beta are the zeros of quadratic polynomial x square - 3 x + 5
To find:-
Find the value of alpha + beta
Solution:-
Given quadratic polynomial=x^2-3x+5
On comparing with the standard quadratic pilynomial then we have,
a=1
b=-3
c=5
If α,β are the zeroes of the given quadratic polynomial then
we know that
Sum of the zeroes =α + β = - b/a
α + β = -(-3)/1
α + β = 3
Answer:-
Value of α + β = 3 for the given problem
Points to remember:-
ax^2 + bx +c is a quadratic polynomial and α and β are the zeroes then
- Sum of the zeroes = -b/a
- Product of the zeroes = c/a