(x-3)^2+(x-4)^2-(x-5)^2-x=24

Question

(x-3)^2+(x-4)^2-(x-5)^2-x=24

Answer 1

X^2 - 6X + 9 + X^2 - 8X + 16 - X^2 + 10X - 25 - X - 24 = 0
X^2 - 5X - 24 = 0 
D = 25 + 96 = 121 ; √ D = 11 
X1 = ( 5 + 11 ) : 2 = 8 
X2 = ( 5 - 11 ) : 2 = - 3