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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.

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isyllus

Answer:

[tex]b-c=\sqrt{a^2+4b^2-4ab}[/tex]

[tex]b-c= \sqrt{a^2+4c^2-4ac}[/tex]

Step-by-step 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

[tex]\therefore b-c=\sqrt{(b+c)^2-4bc}[/tex]

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

[tex]b-c=\sqrt{a^2-4b(a-b)}\Rightarrow \sqrt{a^2+4b^2-4ab}[/tex]

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

[tex]\therefore b-c=\sqrt{(b+c)^2-4bc}[/tex]

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

[tex]b-c=\sqrt{a^2-4c(a-c)}\Rightarrow \sqrt{a^2+4c^2-4ac}[/tex]

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