radicalequations.py

Created by thabo

Created on February 23, 2024

592 Bytes

2 + sqrt(x+10)=x
-2   squared

x + 10 = (x-2)^2
(x-2)(x-2)
x^2 -2x -2x + 4
x+10 = x^2 - 4x + 4
-x -10

0= x^2 -5x - 6

0 = (x+1)(x-6)

x + 1 = 0              x-6= 0
x = - 1                 x+6

CHECK BY RUNNING BOTH X THRU AS X
in this case -1 dosnt work 

(x+2)^1/3 + 7 =5
3sqrt(x+2) = 5
-7  3 power x
x+2 =(-2)^3
x+2=-8
-2 
x= -10
REP CHECK not total needed

2(x-7)^1/5 = (9x+75)^1/5
2(5sqrt(x-7))=5sqrt(9x+75)
right side alr iso
(2)^5 (x-7) = 9x +75
32 (x-7) = 9x +75 
distrib the 32
32x-224 = 9x + 75
23x - 224 = 75
   add 224
   23x = 299
   divid 23
   x = 13

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