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Find all real solutions to\[100x^2+20x+1=16.\]If you find more than one, then list the values separated by commas.

 Jan 16, 2021
 #1
avatar+116126 
+1

100x^2  + 20x  +  1   =  16

 

Factor the left side as

 

(10x  + 1)  ( 10x + 1)   = 16

 

(10 x + 1)^2   = 16           take both roots

 

10x + 1   =  4                                    10x + 1    = -4

 

10x =  3                                            10  x  =   -5

 

x = 3/10                                            x =  -5/10  =   -1/2

 

THX to  the guest for  catching  my  earlier  boo-boo  !!!!

 

 

cool cool cool

 Jan 16, 2021
edited by CPhill  Jan 16, 2021
 #2
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You messed up on the last step for the left side the answer for the left side is 3/10 not 10/3.

 Jan 16, 2021
 #3
avatar+116126 
0

THX....working too fast....I'll correct  that  !!!!

 

cool cool cool

CPhill  Jan 16, 2021

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