What is the sum of roots of the quadratic
equation 6x² – 18x + 12 = 0?
Answers
Answered by
1
Step-by-step explanation:
Let the two zeroes be'a'and'b'
6x^2-18x+12=0
6x^2-6x-12x+12=0.
6x(x-1)-12(x-1)=0
(6x-12)(x-1)=0
6x-12=0 or x-1=0
x=2 or x=1
a=2 , b=1
Sum= a+b=2+1=3
Answered by
7
SOLUTION:-
Given
▪︎ 6x²-18x+12=0
To find
▪︎ Sum of roots?
Explanation
▪︎ 6x²-18x+12=0
=>> 6x²- ( 12+6)x +12=0
=>> 6x²-12x-6x +12=0
=>> 6x(x-2)-6(x-2)=0
=>> (x-2)(6x-6)=0
=>> x-2=0, 6x-6=0
=>> x=2, x= 6/6
Sum of Roots = -b/a
2+ 6/6 = -(-18)/6
12+6 / 6 = 3
18/6 = 3
3 = 3
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