x + 5 = 105x = 10 x = 5 - 5 - 5 5 5( x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10 25...
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Transcript of x + 5 = 105x = 10 x = 5 - 5 - 5 5 5( x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10 25...
![Page 1: x + 5 = 105x = 10 x = 5 - 5 - 5 5 5( x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10 25 = 5 10 = 10 10 = 10 5 = 5.](https://reader037.fdocuments.us/reader037/viewer/2022090103/5a4d1bc17f8b9ab0599d31b5/html5/thumbnails/1.jpg)
![Page 2: x + 5 = 105x = 10 x = 5 - 5 - 5 5 5( x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10 25 = 5 10 = 10 10 = 10 5 = 5.](https://reader037.fdocuments.us/reader037/viewer/2022090103/5a4d1bc17f8b9ab0599d31b5/html5/thumbnails/2.jpg)
![Page 3: x + 5 = 105x = 10 x = 5 - 5 - 5 5 5( x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10 25 = 5 10 = 10 10 = 10 5 = 5.](https://reader037.fdocuments.us/reader037/viewer/2022090103/5a4d1bc17f8b9ab0599d31b5/html5/thumbnails/3.jpg)
WHEN SOLVING EQUATIONS WE PERFORM THE INVERSE OPERATION.
x + 5 = 10 5x = 10 x = 5 - 5 - 5 5 5 ( x ) 2 = ( 5 )2
x = 5 x = 2 x = 25
(5) + 5 = 10 5(2) = 10 25 = 5 10 = 10 10 = 10 5 = 5
![Page 4: x + 5 = 105x = 10 x = 5 - 5 - 5 5 5( x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10 25 = 5 10 = 10 10 = 10 5 = 5.](https://reader037.fdocuments.us/reader037/viewer/2022090103/5a4d1bc17f8b9ab0599d31b5/html5/thumbnails/4.jpg)
![Page 5: x + 5 = 105x = 10 x = 5 - 5 - 5 5 5( x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10 25 = 5 10 = 10 10 = 10 5 = 5.](https://reader037.fdocuments.us/reader037/viewer/2022090103/5a4d1bc17f8b9ab0599d31b5/html5/thumbnails/5.jpg)
Recall:
Solve: a1/2 = 8
a1 = a
8
Check[(-2x+6)1/5]5 = [(-8+10x) 1/5]5
-2x + 6 = -8 + 10x -12x = -14 x = 7/6
![Page 6: x + 5 = 105x = 10 x = 5 - 5 - 5 5 5( x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10 25 = 5 10 = 10 10 = 10 5 = 5.](https://reader037.fdocuments.us/reader037/viewer/2022090103/5a4d1bc17f8b9ab0599d31b5/html5/thumbnails/6.jpg)
Raise both sides to the 9th power.
Raise both sides to the 2/3 power.
-4x – 6 = -2 + 3x-7x = 4x = -4/7
Check: [-4(-4/7)-6]1/9 =[(-2+3(-4/7)] 1/9
[(3x-8)3/2]2/3= 82/3
3x-8 = 43x = 12x = 4
Check: [3(4)-8]3/2 =8(4)3/2 =8 8 = 8
![Page 7: x + 5 = 105x = 10 x = 5 - 5 - 5 5 5( x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10 25 = 5 10 = 10 10 = 10 5 = 5.](https://reader037.fdocuments.us/reader037/viewer/2022090103/5a4d1bc17f8b9ab0599d31b5/html5/thumbnails/7.jpg)
After you add the radical to the Right Side,
Square Both Sides
3x+2 = 5x -10 -2x = -12 x = 6
Check: (3*6 + 2) =(5*6-10)(20) =(20)
Square Both Sides
x2 = -3x + 40
Solve the quadratic equation! x2 + 3x – 40 = 0(x+8)(x-5) = 0x = -8 and 5Check: (Use the Original Equation)-8 = (-3*-8+40)-8 = 44
5= (-3*5+40)5= 25
The only solution is x = 5. x=-8 is an extraneous solution!
Example 9 Example 10Example 9 Example 10
![Page 8: x + 5 = 105x = 10 x = 5 - 5 - 5 5 5( x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10 25 = 5 10 = 10 10 = 10 5 = 5.](https://reader037.fdocuments.us/reader037/viewer/2022090103/5a4d1bc17f8b9ab0599d31b5/html5/thumbnails/8.jpg)