FINDING THE SUM AND PRODUCT OF ROOTS
SUM OF ROOTS
PRODUCT OF ROOTS
A.
GIVEN
2x²-5x+27=0
a= 2 b= -5 c= 27
-b/a
-(-5)/2
= 5/2
c/a
= 27/2
7x²-14x+1=0
a= 7 b= -14 c= 1
-(-14)/7
14/7
= 2
= 1/7
3x²+5x+7=0
a= 3 b= 5 c= 7
= -5/3
= 7/3
2x²-15x=9
2x²-15x-9=0
a= 2 b= -15 c= -9
-(-15)/2
= 15/2
= -9/2
1/2x²-4x= 1/4
1/2x²-4x-1/4=0
a= 1/2 c= -4 c= -1/4
-(-4)/(1/2)
4/(1/2)
= 8
(-1/4)/(1/2)
= -1/2
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ANSWER
FINDING THE SUM AND PRODUCT OF ROOTS
SUM OF ROOTS
PRODUCT OF ROOTS
A.
GIVEN
2x²-5x+27=0
a= 2 b= -5 c= 27
SUM OF ROOTS
-b/a
-(-5)/2
= 5/2
PRODUCT OF ROOTS
c/a
= 27/2
GIVEN
7x²-14x+1=0
a= 7 b= -14 c= 1
SUM OF ROOTS
-b/a
-(-14)/7
14/7
= 2
PRODUCT OF ROOTS
c/a
= 1/7
GIVEN
3x²+5x+7=0
a= 3 b= 5 c= 7
SUM OF ROOTS
-b/a
= -5/3
PRODUCT OF ROOTS
c/a
= 7/3
GIVEN
2x²-15x=9
2x²-15x-9=0
a= 2 b= -15 c= -9
SUM OF ROOTS
-b/a
-(-15)/2
= 15/2
PRODUCT OF ROOTS
c/a
= -9/2
GIVEN
1/2x²-4x= 1/4
1/2x²-4x-1/4=0
a= 1/2 c= -4 c= -1/4
SUM OF ROOTS
-b/a
-(-4)/(1/2)
4/(1/2)
= 8
PRODUCT OF ROOTS
c/a
(-1/4)/(1/2)
= -1/2