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Answer:
formula
x²-(a+b)x+ab
used
then,,
x²-6x+9
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Answer: WE ARE Given equation :- x² + 6x + 9
factorize it by middle term splitting :- x² + 6x + 9
x² + 3x + 3x + 9
x ( x + 3 ) + 3 ( x + 3 )
( x + 3 ) ( x + 3 )=0
( x + 3 ) = 0
x = ( - 3 )
( x + 3 ) = 0
x = ( - 3 )
SO ALPHA ND BETA ARE(-3)
The new equation having Zeros as :-
alpha = - ( - 3) = 3
beta = - ( - 3) = 3
So, the Zeros are 3
Sum of the Zeros are :-
3 + 3 = 6
Product of the Zeros are :-
3 × 3 = 9
quadratic equation we have formula as
x² - ( sum of Zeros )x + ( product of Zeros)
Put value in it
x² - 6x + 9 is the required quadratic equation
HOPE THIS HELPS YOU
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