(7-x)^(1/2)=7

Solution for (7-x)^(1/2)=7 equation:

D( x )

7-x < 0

7-x < 0

7-x < 0

7-x < 0

-x < -7 // * -1

x > 7

x in (-oo:7>

(7-x)^(1/2) = 7 // - 7

(7-x)^(1/2)-7 = 0

(7-x)^(1/2) = -7 // + 7

(7-x)^(1/2) = 7 // ^ 2

abs(7-x) = 7^2 // - 7^2

abs(7-x)-7^2 = 0

x in (-oo:+oo)

abs(7-x)

7-x >= 0

7-x >= 0

-x >= -7 // * -1

x <= 7

x in (-oo:7>

7-x-7^2 = 0

x in (7:+oo)

x-7^2-7 = 0

abs(7-x)-7^2 = 0


/
| 7-x-7^2 = 0 i x in (-oo:7>
| x-7^2-7 = 0 i x in (7:+oo)


x in (-oo:7>

7-x-7^2 = 0

-x-42 = 0 // + 42

-x = 42 // * -1

x = -42

x in (7:+oo)

x-7^2-7 = 0

x-56 = 0 // + 56

x = 56

x in { 56} 

x = -42