Question

Sendo ab=80 e A ao quadrado + B ao quadrado = 164, quanto e (a-b) ao quadrado

Answer 1

$\mathsf{{(a-b)}^{2}={a}^{2}+{b}^{2}-2ab}$

$\mathsf{{(a-b)}^{2}=164-2.80}\\\mathsf{{(a-b)}^{2}=164-160}\\\mathsf{{(a-b)}^{2}=4}$

$\mathsf{a-b=\sqrt{4}}$

$\boxed{\boxed{\boxed{\mathsf{a-b=2}}}}$