Question

ecuaciones cuadraticas....
x+√x-4 = 4

Answer 1

x+√x-4 = 4

$x+ \sqrt{x-4}=4 \\ \sqrt{x-4}=4-x \\ ( \sqrt{x-4})^{2}=(4-x)^{2} \\ x-4=16-8x+x^{2} \\ 0=16+4-8x-x+ x^{2} \\ 0= x^{2}-9x+20 \\ (x-5)(x-4)=0 \\ x-5=0 \ \ \ \ x-4=0 \\ x=5 \ \ \ \ x=4$

si verificas x=4 es la solucion
x+√x-4 = 4......4+√4-4 = 4.......4+√0 = 4..........4+0 = 4.....4+4=0
x=5.....es una solucion extraña,no es solucion de la ecuacion!!