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Help with this quadratic please

 

Find all the solutions to x^2 + 6x + 13 = 2x - 7x + 10.

 Dec 15, 2023
 #1
avatar+126978 
+1

x^2 + 6x + 13  = 2x - 7x + 10          simplify as

 

x^2 + 11x + 3  =  0        complete the square on x

 

x^2 + 11x  +  121/4   =  -3 + 121/4

 

(x + 11/2)^2  =   109/4          take both roots

 

x + 11/2  =   ±sqrt (109) / 2

 

x =   -11/2 ± sqrt (109) / 2

 

 

cool cool cool

 Dec 15, 2023

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