+0  
 
0
29
1
avatar+1679 

Factor x^2 - 8x + 15 + x^2 - 4x + 3
Find all values of x such that x^2 - 8x + 15 + x^2 - 4x + 3 = 0. If you find more than one value, then list your solutions, separated by commas.

 Nov 12, 2023
 #1
avatar+22 
0

x^2 - 8x + 15 + x^2 - 4x + 3

 

Collect like terms

= 2x^2 - 12x + 18 

 

= 2x^2 - 6x + 18 - 6x

= 2x(x-3) - 6(x-3)

= (2x-6)(x-3)

 

 

2x = 6

x=3

 

or x-3 = 0

x=3

 

So the only solution is x = 3

 Nov 12, 2023

5 Online Users

avatar
avatar
avatar