Question

If a is equal to the sum of band c, what is the difference of band c? The difference of b and c is equal to in terms of b and a. In terms of c and a.

Answer 1

`b-c=√(a^2+4b^2-4ab)`

`b-c= √(a^2+4c^2-4ac)`

Explanation:

If a is equal to the sum of band c

then a = b + c

• We need to find difference of b and c in term of b and a

`\therefore b-c=√((b+c)^2-4bc)`

Substitute b+c=a and c=a-b

`b-c=√(a^2-4b(a-b))\Rightarrow √(a^2+4b^2-4ab)`

• Difference of b and c in term of c and a

`\therefore b-c=√((b+c)^2-4bc)`

Substitute b+c=a and b=a-c

`b-c=√(a^2-4c(a-c))\Rightarrow √(a^2+4c^2-4ac)`