(7-x)^(1/2)=4

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Solution for (7-x)^(1/2)=4 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) = 4 // - 4

(7-x)^(1/2)-4 = 0

(7-x)^(1/2) = -4 // + 4

(7-x)^(1/2) = 4 // ^ 2

abs(7-x) = 4^2 // - 4^2

abs(7-x)-4^2 = 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-4^2 = 0

x in (7:+oo)

x-4^2-7 = 0

abs(7-x)-4^2 = 0


/
| 7-x-4^2 = 0 i x in (-oo:7>
| x-4^2-7 = 0 i x in (7:+oo)


x in (-oo:7>

7-x-4^2 = 0

-x-9 = 0 // + 9

-x = 9 // * -1

x = -9

x in (7:+oo)

x-4^2-7 = 0

x-23 = 0 // + 23

x = 23

x in { 23} 

x = -9

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