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if alpha and beta r the 2 zeroes of the polynomial
3x²-12x+15,
find the value of
alpha²+beta²
Answers
Answered by
2
ANSWER:-
GIVEN:
___________
alpha and beta are two zeros of the polynomial
3x^2 + 12x+15.
TO FIND:
____________
alpha^2+beta^2
SOLUTION:
______________
let alpha and beta are a and b respectively.
As per the question a and b are the two zeros of the polynomial 3x^2 +12x+15.
By solving the polynomial we get:
3x^2+12x+15=0
=>3x^2+3x+15x+15=0
=>3x(x+1)+15(x+1)=0
=>(3x+15)(x+1)=0
=>x=(-5,-1)
a=-5 and b=-1
so a^2+b^2
=(-5)^2+(-1)^2
=25+1
=26
-----××GAME CHANGER××-----
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