8.3
Find the quadratic polynomial, the sum & product
of whose zeroes are √2 & - 3 respectively,
Answers
Answered by
41
Answer:
hey mate ❤️......here is your answer...
given,
sum of the zeroes=√2
product of the zeroes=(-3)
so,the quadratic equation is=x^2-(sum of the
zeroes)+product of the
zeroes
=x^2-√2x-3
Step-by-step explanation:
hope this help u.... please mark as brainliest dear ❤️☺️.......
Thank u❤️
Answered by
39
Given :-
- sum of zeros = √2.
- Product of zeros = (-3).
To Find :-
- Find the Quadratic Polynomial ?
Solution :-
The Equation with sum & Product of Roots is given by :- x^2 - ( sum of roots )x + product of roots = 0
Putting values we get :-
= > x² - (√2)x + (-3) = 0
= > x² - √2x - 3 = 0
Hence, Required equation is x² - √2x - 3 = 0..
_____________________________
Extra :-
→ The sum of the roots of the Equation ax² + bx + c = 0 , is given by = (-b/a)
and ,
→ Product of roots of the Equation is given by = c/a.
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