Question

Teorema de tales: x+5/x=x+2/x-2

Answer 1

$\frac{x + 5}{x} = \frac{x + 2}{x - 2} \\ (x + 5)(x - 2) = x(x + 2) \\ {x}^{2} + 3x - 10 = {x}^{2} + 2x \\ x = 10$

Answer 2

Resposta:

${x+5\over x}={x+2\over x-2}\\ \\ multiplica~~cruzado\\ \\ (x+5)(x-2)=x(x+2)\\ \\ x^2-2x+5x-10=x^2+2x\\ \\ \not x^2-\not x^2-2x+ 5x-2x=10\\ \\ -4x+5x=10\\ \\ x=10$