Square root of (x+6)-4=x, extraneous or not

x = -2 or x=-5

Step-by-step explanation:

sqrt(x+6)-4 = x

sqrt(x+6) = x+4

square both sides

x+6 = x²+8x+16

x²+7x+10 = 0

(x+2)(x+5) = 0

x = -2 or x=-5

Substitute in original equation

x=-2 +/- sqrt(-2+6)-4 = 2-4 = -2  checks

x=-5 +/- sqrt(-5+6)-4 = -1-4 = -5 checks

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !