(x+6)^1/2+12=7(x+6)^1/4

Question

(x+6)^1/2+12=7(x+6)^1/4

Answer 1

This equation fits the form ax² + bx + c = 0

Use FOIL to factor

 

(x + 6)^1/2 - 7(x + 6)^1/4 + 12 = 0

((x + 6)^1/4 - 3)((x + 6)^1/4 - 4) = 0

 

(x + 6)^1/4 - 3 = 0

(x + 6)^1/4 = 3

x + 6 = 81

x = 75

 

(x + 6)^1/4 - 4 = 0

(x + 6)^1/4 = 4

x + 6 = 256

x = 250

 

{75, 250}