Question

x(1-x)=x+5

x(x+4)=4(x+1)​

Answer 1

Resposta:

x = √5

x = 2

Explicação passo-a-passo:

x(1-x)=x+5

x - x² = x + 5

x² + x - x + 5

x² = 5

x = √5

x(x+4)=4(x+1)

x² + 4x = 4x + 4

x² + 4x - 4x = 4

x² = 4

x √4 = 2

Answer 2

$\mathsf{x(1-x)=x+5}\\\\\mathsf{x-x^2=x+5}\\\\\mathsf{x-x^2-x=5}\\\\\mathsf{-x^2=5}\\\\\mathsf{-x=\pm\sqrt5}\\\\\boxed{\boxed{\mathsf{x=\pm\sqrt5}}}$

$\mathsf{x(x+4)=4(x+1)}\\\\\mathsf{x^2+4x=4x+4}\\\\\mathsf{x^2+4x-4x=4}\\\\\mathsf{x^2=4}\\\\\mathsf{x=\pm\sqrt4}\\\\\boxed{\boxed{\mathsf{x=\pm2}}}$