Question

Ecuacion con radicales porfis ayuda
√(X-16) - √X = 4

√(X+1) + √(X-4 ) = 5

Answer 1

Respuesta:

1) √(X-16) - √X = 4

$(\sqrt{x-16} -\sqrt{x} )^{2} = 4^{2}\\\\(\sqrt{x-16})^{2} - 2(\sqrt{x-16} )(\sqrt{x})+ (\sqrt{x})^{2} =16\\\\2x -16 -2\sqrt{x^{2}-16x } =16\\\\\sqrt{x^{2}-16x }= \frac{32 -2x}{-2} \\\\(\sqrt{x^{2}-16x })^{2} = (-16 + x)^{2} \\\\x^{2}-16x = x^{2} -32x + 256\\\\16x= 256\\\\x= \frac{256}{16} \\\\x= 16$

RPTA.