Question

If a2 – 16 = 25 – b2 then​

Answer 1

Answer:

${a}^{2} - 16 = 25 - {b}^{2} \\ {a}^{2} + {b}^{2} = 25 + 16 \\ {ab}^{2} = 41$

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Answer 2

Given Data: $a^{2}-16 = 25 - b^{2}$.

To find: The result

Solution:

• Simplifying $a^{2}-16 = 25 - b^{2}$ we get,

                           $a^{2}-b^{2} = 25 + 16\\ a^{2}-b^{2} = 41\\(a+b)^{2}=41.\\or\\(a+b)=\sqrt[2]{41} .$

• The result is $(a+b)^{2} = 41$ or $(a+b)=\sqrt[2]{41}$.