Question

x²=5,76

Como chegou ao resultado que x=2,4

Answer 1

Resolução detalhada:

$\mathsf{x^2=5,76}\\\\\\\mathsf{\sqrt{x^2}=\sqrt{5,76}}\\\\\\\mathsf{\left|x\right|=\sqrt{5,76}}\\\\\\\mathsf{\left|x\right|=\sqrt{\dfrac{576}{100}}}\\\\\\\mathsf{\left|x\right|=\dfrac{\sqrt{576}}{\sqrt{100}}}\\\\\\\mathsf{\left|x\right|=\dfrac{\sqrt{24\cdot 24}}{10}}\\\\\\\mathsf{\left|x\right|=\dfrac{\sqrt{24^2}}{10}}\\\\\\\mathsf{\left|x\right|=\dfrac{24}{10}}\\\\\\\mathsf{\left|x\right|=2,4}\\\\\\\boxed{\boxed{\mathsf{x=\pm \:2,4}}}\: \: \checkmark$