If a=b or both a and b =0
0 is the additive identity for numbers and the identity property is illustrated by 1+0 = 1
a * 0=0
The identity property for addition states that there is a number, 0, such that x + 0 = 0 + x = x for all numbers x.
The question is ambiguous because there is no sign shown before the final 6. Assume it is +6 since -6 would make factorisation very difficult. Thus the equation is 6b2 - 13b + 6 = 0 Then 6b2 - 4b - 9b + 6 = 0 or 2b(3b - 2) - 3(3b - 2) = 0 ie (3b - 2)(2b - 3) = 0 then 3b -2 = 0 or 2b - 3 = 0 so 3b =2 or 2b = 3 ie b = 2/3 or b = 3/2
2b
If a=b or both a and b =0
0 is the additive identity for numbers and the identity property is illustrated by 1+0 = 1
a * 0=0
The identity property for addition states that there is a number, 0, such that x + 0 = 0 + x = x for all numbers x.
It defines 0 as the identity in the group of numbers with respect to addition.
I t is the number 0, which has the property that x + 0 = 0 + x = x for all rational numbers x.
The question is ambiguous because there is no sign shown before the final 6. Assume it is +6 since -6 would make factorisation very difficult. Thus the equation is 6b2 - 13b + 6 = 0 Then 6b2 - 4b - 9b + 6 = 0 or 2b(3b - 2) - 3(3b - 2) = 0 ie (3b - 2)(2b - 3) = 0 then 3b -2 = 0 or 2b - 3 = 0 so 3b =2 or 2b = 3 ie b = 2/3 or b = 3/2
0 is the additive identity for the set of numbers.
0 * x = 0 for all numbers x.
The existence of an additive identity, denoted by 0, which has the property that x + 0 = 0 + x = x for all x belonging to a set of numbers.
That would still be 4. If it were times 0 it would be 0.