Răspuns:
I found x=−2
Explicație pas cu pas:
Let us try squaring both sides:
[√x+6+√2−x]2=42
x+6+2√x+6√2−x+2−x=16
8+2√(x+6)(2−x)=16 taking 8 to the right:
2√(x+6)(2−x)=8 taking 2 to the right (dividing):
√(x+6)(2−x)=4
let us square again:
(x+6)(2−x)=16
2x−x2+12−6x−16=0
−x2−4x−4=0 using the Quadratic Formula we get:
x1,2=4±√16−4(−4⋅−1)−2=4±
